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  <div class="section" id="built-in-types">
<span id="bltin-types"></span><h1>5. Built-in Types<a class="headerlink" href="#built-in-types" title="Permalink to this headline">¶</a></h1>
<p>The following sections describe the standard types that are built into the
interpreter.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Historically (until release 2.2), Python&#8217;s built-in types have differed from
user-defined types because it was not possible to use the built-in types as the
basis for object-oriented inheritance. This limitation no longer
exists.</p>
</div>
<p id="index-0">The principal built-in types are numerics, sequences, mappings, files, classes,
instances and exceptions.</p>
<p id="index-1">Some operations are supported by several object types; in particular,
practically all objects can be compared, tested for truth value, and converted
to a string (with the <a class="reference internal" href="functions.html#func-repr"><em>repr()</em></a> function or the slightly different
<a class="reference internal" href="functions.html#str" title="str"><tt class="xref py py-func docutils literal"><span class="pre">str()</span></tt></a> function).  The latter function is implicitly used when an object is
written by the <a class="reference internal" href="functions.html#print" title="print"><tt class="xref py py-func docutils literal"><span class="pre">print()</span></tt></a> function.</p>
<div class="section" id="truth-value-testing">
<span id="truth"></span><h2>5.1. Truth Value Testing<a class="headerlink" href="#truth-value-testing" title="Permalink to this headline">¶</a></h2>
<p id="index-2">Any object can be tested for truth value, for use in an <a class="reference internal" href="../reference/compound_stmts.html#if"><tt class="xref std std-keyword docutils literal"><span class="pre">if</span></tt></a> or
<a class="reference internal" href="../reference/compound_stmts.html#while"><tt class="xref std std-keyword docutils literal"><span class="pre">while</span></tt></a> condition or as operand of the Boolean operations below. The
following values are considered false:</p>
<blockquote>
<div></div></blockquote>
<ul id="index-3">
<li><p class="first"><tt class="xref docutils literal"><span class="pre">None</span></tt></p>
</li>
<li id="index-4"><p class="first"><tt class="xref docutils literal"><span class="pre">False</span></tt></p>
</li>
<li><p class="first">zero of any numeric type, for example, <tt class="docutils literal"><span class="pre">0</span></tt>, <tt class="docutils literal"><span class="pre">0L</span></tt>, <tt class="docutils literal"><span class="pre">0.0</span></tt>, <tt class="docutils literal"><span class="pre">0j</span></tt>.</p>
</li>
<li><p class="first">any empty sequence, for example, <tt class="docutils literal"><span class="pre">''</span></tt>, <tt class="docutils literal"><span class="pre">()</span></tt>, <tt class="docutils literal"><span class="pre">[]</span></tt>.</p>
</li>
<li><p class="first">any empty mapping, for example, <tt class="docutils literal"><span class="pre">{}</span></tt>.</p>
</li>
<li><p class="first">instances of user-defined classes, if the class defines a <a class="reference internal" href="../reference/datamodel.html#object.__nonzero__" title="object.__nonzero__"><tt class="xref py py-meth docutils literal"><span class="pre">__nonzero__()</span></tt></a>
or <a class="reference internal" href="../reference/datamodel.html#object.__len__" title="object.__len__"><tt class="xref py py-meth docutils literal"><span class="pre">__len__()</span></tt></a> method, when that method returns the integer zero or
<a class="reference internal" href="functions.html#bool" title="bool"><tt class="xref py py-class docutils literal"><span class="pre">bool</span></tt></a> value <tt class="xref docutils literal"><span class="pre">False</span></tt>. <a class="footnote-reference" href="#id12" id="id1">[1]</a></p>
</li>
</ul>
<p id="index-5">All other values are considered true &#8212; so objects of many types are always
true.</p>
<p id="index-6">Operations and built-in functions that have a Boolean result always return <tt class="docutils literal"><span class="pre">0</span></tt>
or <tt class="xref docutils literal"><span class="pre">False</span></tt> for false and <tt class="docutils literal"><span class="pre">1</span></tt> or <tt class="xref docutils literal"><span class="pre">True</span></tt> for true, unless otherwise stated.
(Important exception: the Boolean operations <tt class="docutils literal"><span class="pre">or</span></tt> and <tt class="docutils literal"><span class="pre">and</span></tt> always return
one of their operands.)</p>
</div>
<div class="section" id="boolean-operations-and-or-not">
<span id="boolean"></span><h2>5.2. Boolean Operations &#8212; <a class="reference internal" href="../reference/expressions.html#and"><tt class="xref std std-keyword docutils literal"><span class="pre">and</span></tt></a>, <a class="reference internal" href="../reference/expressions.html#or"><tt class="xref std std-keyword docutils literal"><span class="pre">or</span></tt></a>, <a class="reference internal" href="../reference/expressions.html#not"><tt class="xref std std-keyword docutils literal"><span class="pre">not</span></tt></a><a class="headerlink" href="#boolean-operations-and-or-not" title="Permalink to this headline">¶</a></h2>
<p id="index-7">These are the Boolean operations, ordered by ascending priority:</p>
<table border="1" class="docutils">
<colgroup>
<col width="25%" />
<col width="62%" />
<col width="13%" />
</colgroup>
<thead valign="bottom">
<tr><th class="head">Operation</th>
<th class="head">Result</th>
<th class="head">Notes</th>
</tr>
</thead>
<tbody valign="top">
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">or</span> <span class="pre">y</span></tt></td>
<td>if <em>x</em> is false, then <em>y</em>, else
<em>x</em></td>
<td>(1)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">and</span> <span class="pre">y</span></tt></td>
<td>if <em>x</em> is false, then <em>x</em>, else
<em>y</em></td>
<td>(2)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">not</span> <span class="pre">x</span></tt></td>
<td>if <em>x</em> is false, then <tt class="xref docutils literal"><span class="pre">True</span></tt>,
else <tt class="xref docutils literal"><span class="pre">False</span></tt></td>
<td>(3)</td>
</tr>
</tbody>
</table>
<p id="index-8">Notes:</p>
<ol class="arabic simple">
<li>This is a short-circuit operator, so it only evaluates the second
argument if the first one is <a class="reference internal" href="constants.html#False" title="False"><tt class="xref py py-const xref docutils literal"><span class="pre">False</span></tt></a>.</li>
<li>This is a short-circuit operator, so it only evaluates the second
argument if the first one is <a class="reference internal" href="constants.html#True" title="True"><tt class="xref py py-const xref docutils literal"><span class="pre">True</span></tt></a>.</li>
<li><tt class="docutils literal"><span class="pre">not</span></tt> has a lower priority than non-Boolean operators, so <tt class="docutils literal"><span class="pre">not</span> <span class="pre">a</span> <span class="pre">==</span> <span class="pre">b</span></tt> is
interpreted as <tt class="docutils literal"><span class="pre">not</span> <span class="pre">(a</span> <span class="pre">==</span> <span class="pre">b)</span></tt>, and <tt class="docutils literal"><span class="pre">a</span> <span class="pre">==</span> <span class="pre">not</span> <span class="pre">b</span></tt> is a syntax error.</li>
</ol>
</div>
<div class="section" id="comparisons">
<span id="stdcomparisons"></span><h2>5.3. Comparisons<a class="headerlink" href="#comparisons" title="Permalink to this headline">¶</a></h2>
<p id="index-9">Comparison operations are supported by all objects.  They all have the same
priority (which is higher than that of the Boolean operations). Comparisons can
be chained arbitrarily; for example, <tt class="docutils literal"><span class="pre">x</span> <span class="pre">&lt;</span> <span class="pre">y</span> <span class="pre">&lt;=</span> <span class="pre">z</span></tt> is equivalent to <tt class="docutils literal"><span class="pre">x</span> <span class="pre">&lt;</span> <span class="pre">y</span> <span class="pre">and</span>
<span class="pre">y</span> <span class="pre">&lt;=</span> <span class="pre">z</span></tt>, except that <em>y</em> is evaluated only once (but in both cases <em>z</em> is not
evaluated at all when <tt class="docutils literal"><span class="pre">x</span> <span class="pre">&lt;</span> <span class="pre">y</span></tt> is found to be false).</p>
<p>This table summarizes the comparison operations:</p>
<table border="1" class="docutils">
<colgroup>
<col width="27%" />
<col width="57%" />
<col width="16%" />
</colgroup>
<thead valign="bottom">
<tr><th class="head">Operation</th>
<th class="head">Meaning</th>
<th class="head">Notes</th>
</tr>
</thead>
<tbody valign="top">
<tr><td><tt class="docutils literal"><span class="pre">&lt;</span></tt></td>
<td>strictly less than</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">&lt;=</span></tt></td>
<td>less than or equal</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">&gt;</span></tt></td>
<td>strictly greater than</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">&gt;=</span></tt></td>
<td>greater than or equal</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">==</span></tt></td>
<td>equal</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">!=</span></tt></td>
<td>not equal</td>
<td>(1)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">is</span></tt></td>
<td>object identity</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">is</span> <span class="pre">not</span></tt></td>
<td>negated object identity</td>
<td>&nbsp;</td>
</tr>
</tbody>
</table>
<p>Notes:</p>
<ol class="arabic simple">
<li><tt class="docutils literal"><span class="pre">!=</span></tt> can also be written <tt class="docutils literal"><span class="pre">&lt;&gt;</span></tt>, but this is an obsolete usage
kept for backwards compatibility only. New code should always use
<tt class="docutils literal"><span class="pre">!=</span></tt>.</li>
</ol>
<p id="index-10">Objects of different types, except different numeric types and different string
types, never compare equal; such objects are ordered consistently but
arbitrarily (so that sorting a heterogeneous array yields a consistent result).
Furthermore, some types (for example, file objects) support only a degenerate
notion of comparison where any two objects of that type are unequal.  Again,
such objects are ordered arbitrarily but consistently. The <tt class="docutils literal"><span class="pre">&lt;</span></tt>, <tt class="docutils literal"><span class="pre">&lt;=</span></tt>, <tt class="docutils literal"><span class="pre">&gt;</span></tt>
and <tt class="docutils literal"><span class="pre">&gt;=</span></tt> operators will raise a <a class="reference internal" href="exceptions.html#exceptions.TypeError" title="exceptions.TypeError"><tt class="xref py py-exc docutils literal"><span class="pre">TypeError</span></tt></a> exception when any operand is
a complex number.</p>
<p id="index-11">Non-identical instances of a class normally compare as non-equal unless the
class defines the <a class="reference internal" href="../reference/datamodel.html#object.__eq__" title="object.__eq__"><tt class="xref py py-meth docutils literal"><span class="pre">__eq__()</span></tt></a> method or the <a class="reference internal" href="../reference/datamodel.html#object.__cmp__" title="object.__cmp__"><tt class="xref py py-meth docutils literal"><span class="pre">__cmp__()</span></tt></a> method.</p>
<p>Instances of a class cannot be ordered with respect to other instances of the
same class, or other types of object, unless the class defines either enough of
the rich comparison methods (<a class="reference internal" href="../reference/datamodel.html#object.__lt__" title="object.__lt__"><tt class="xref py py-meth docutils literal"><span class="pre">__lt__()</span></tt></a>, <a class="reference internal" href="../reference/datamodel.html#object.__le__" title="object.__le__"><tt class="xref py py-meth docutils literal"><span class="pre">__le__()</span></tt></a>, <a class="reference internal" href="../reference/datamodel.html#object.__gt__" title="object.__gt__"><tt class="xref py py-meth docutils literal"><span class="pre">__gt__()</span></tt></a>, and
<a class="reference internal" href="../reference/datamodel.html#object.__ge__" title="object.__ge__"><tt class="xref py py-meth docutils literal"><span class="pre">__ge__()</span></tt></a>) or the <a class="reference internal" href="../reference/datamodel.html#object.__cmp__" title="object.__cmp__"><tt class="xref py py-meth docutils literal"><span class="pre">__cmp__()</span></tt></a> method.</p>
<div class="impl-detail compound">
<p><strong>CPython implementation detail:</strong> Objects of different types except numbers are ordered by their type names;
objects of the same types that don&#8217;t support proper comparison are ordered by
their address.</p>
</div>
<p id="index-12">Two more operations with the same syntactic priority, <tt class="docutils literal"><span class="pre">in</span></tt> and <tt class="docutils literal"><span class="pre">not</span> <span class="pre">in</span></tt>, are
supported only by sequence types (below).</p>
</div>
<div class="section" id="numeric-types-int-float-long-complex">
<span id="typesnumeric"></span><h2>5.4. Numeric Types &#8212; <a class="reference internal" href="functions.html#int" title="int"><tt class="xref py py-class docutils literal"><span class="pre">int</span></tt></a>, <a class="reference internal" href="functions.html#float" title="float"><tt class="xref py py-class docutils literal"><span class="pre">float</span></tt></a>, <a class="reference internal" href="functions.html#long" title="long"><tt class="xref py py-class docutils literal"><span class="pre">long</span></tt></a>, <a class="reference internal" href="functions.html#complex" title="complex"><tt class="xref py py-class docutils literal"><span class="pre">complex</span></tt></a><a class="headerlink" href="#numeric-types-int-float-long-complex" title="Permalink to this headline">¶</a></h2>
<p id="index-13">There are four distinct numeric types: <em class="dfn">plain integers</em>, <em class="dfn">long
integers</em>, <em class="dfn">floating point numbers</em>, and <em class="dfn">complex numbers</em>. In
addition, Booleans are a subtype of plain integers. Plain integers (also just
called <em class="dfn">integers</em>) are implemented using <tt class="xref c c-type docutils literal"><span class="pre">long</span></tt> in C, which gives
them at least 32 bits of precision (<tt class="docutils literal"><span class="pre">sys.maxint</span></tt> is always set to the maximum
plain integer value for the current platform, the minimum value is
<tt class="docutils literal"><span class="pre">-sys.maxint</span> <span class="pre">-</span> <span class="pre">1</span></tt>).  Long integers have unlimited precision.  Floating point
numbers are usually implemented using <tt class="xref c c-type docutils literal"><span class="pre">double</span></tt> in C; information about
the precision and internal representation of floating point numbers for the
machine on which your program is running is available in
<a class="reference internal" href="sys.html#sys.float_info" title="sys.float_info"><tt class="xref py py-data docutils literal"><span class="pre">sys.float_info</span></tt></a>.  Complex numbers have a real and imaginary part, which
are each a floating point number.  To extract these parts from a complex number
<em>z</em>, use <tt class="docutils literal"><span class="pre">z.real</span></tt> and <tt class="docutils literal"><span class="pre">z.imag</span></tt>. (The standard library includes additional
numeric types, <a class="reference internal" href="fractions.html#module-fractions" title="fractions: Rational numbers."><tt class="xref py py-mod docutils literal"><span class="pre">fractions</span></tt></a> that hold rationals, and <a class="reference internal" href="decimal.html#module-decimal" title="decimal: Implementation of the General Decimal Arithmetic  Specification."><tt class="xref py py-mod docutils literal"><span class="pre">decimal</span></tt></a> that
hold floating-point numbers with user-definable precision.)</p>
<p id="index-14">Numbers are created by numeric literals or as the result of built-in functions
and operators.  Unadorned integer literals (including binary, hex, and octal
numbers) yield plain integers unless the value they denote is too large to be
represented as a plain integer, in which case they yield a long integer.
Integer literals with an <tt class="docutils literal"><span class="pre">'L'</span></tt> or <tt class="docutils literal"><span class="pre">'l'</span></tt> suffix yield long integers (<tt class="docutils literal"><span class="pre">'L'</span></tt>
is preferred because <tt class="docutils literal"><span class="pre">1l</span></tt> looks too much like eleven!).  Numeric literals
containing a decimal point or an exponent sign yield floating point numbers.
Appending <tt class="docutils literal"><span class="pre">'j'</span></tt> or <tt class="docutils literal"><span class="pre">'J'</span></tt> to a numeric literal yields a complex number with a
zero real part. A complex numeric literal is the sum of a real and an imaginary
part.</p>
<p id="index-15">Python fully supports mixed arithmetic: when a binary arithmetic operator has
operands of different numeric types, the operand with the &#8220;narrower&#8221; type is
widened to that of the other, where plain integer is narrower than long integer
is narrower than floating point is narrower than complex. Comparisons between
numbers of mixed type use the same rule. <a class="footnote-reference" href="#id13" id="id2">[2]</a> The constructors <a class="reference internal" href="functions.html#int" title="int"><tt class="xref py py-func docutils literal"><span class="pre">int()</span></tt></a>,
<a class="reference internal" href="functions.html#long" title="long"><tt class="xref py py-func docutils literal"><span class="pre">long()</span></tt></a>, <a class="reference internal" href="functions.html#float" title="float"><tt class="xref py py-func docutils literal"><span class="pre">float()</span></tt></a>, and <a class="reference internal" href="functions.html#complex" title="complex"><tt class="xref py py-func docutils literal"><span class="pre">complex()</span></tt></a> can be used to produce numbers
of a specific type.</p>
<p>All built-in numeric types support the following operations. See
<a class="reference internal" href="../reference/expressions.html#power"><em>The power operator</em></a> and later sections for the operators&#8217; priorities.</p>
<table border="1" class="docutils">
<colgroup>
<col width="33%" />
<col width="54%" />
<col width="13%" />
</colgroup>
<thead valign="bottom">
<tr><th class="head">Operation</th>
<th class="head">Result</th>
<th class="head">Notes</th>
</tr>
</thead>
<tbody valign="top">
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">+</span> <span class="pre">y</span></tt></td>
<td>sum of <em>x</em> and <em>y</em></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">-</span> <span class="pre">y</span></tt></td>
<td>difference of <em>x</em> and <em>y</em></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">*</span> <span class="pre">y</span></tt></td>
<td>product of <em>x</em> and <em>y</em></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">/</span> <span class="pre">y</span></tt></td>
<td>quotient of <em>x</em> and <em>y</em></td>
<td>(1)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">//</span> <span class="pre">y</span></tt></td>
<td>(floored) quotient of <em>x</em> and
<em>y</em></td>
<td>(4)(5)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">%</span> <span class="pre">y</span></tt></td>
<td>remainder of <tt class="docutils literal"><span class="pre">x</span> <span class="pre">/</span> <span class="pre">y</span></tt></td>
<td>(4)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">-x</span></tt></td>
<td><em>x</em> negated</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">+x</span></tt></td>
<td><em>x</em> unchanged</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">abs(x)</span></tt></td>
<td>absolute value or magnitude of
<em>x</em></td>
<td>(3)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">int(x)</span></tt></td>
<td><em>x</em> converted to integer</td>
<td>(2)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">long(x)</span></tt></td>
<td><em>x</em> converted to long integer</td>
<td>(2)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">float(x)</span></tt></td>
<td><em>x</em> converted to floating point</td>
<td>(6)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">complex(re,im)</span></tt></td>
<td>a complex number with real part
<em>re</em>, imaginary part <em>im</em>.
<em>im</em> defaults to zero.</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">c.conjugate()</span></tt></td>
<td>conjugate of the complex number
<em>c</em>. (Identity on real numbers)</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">divmod(x,</span> <span class="pre">y)</span></tt></td>
<td>the pair <tt class="docutils literal"><span class="pre">(x</span> <span class="pre">//</span> <span class="pre">y,</span> <span class="pre">x</span> <span class="pre">%</span> <span class="pre">y)</span></tt></td>
<td>(3)(4)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">pow(x,</span> <span class="pre">y)</span></tt></td>
<td><em>x</em> to the power <em>y</em></td>
<td>(3)(7)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">**</span> <span class="pre">y</span></tt></td>
<td><em>x</em> to the power <em>y</em></td>
<td>(7)</td>
</tr>
</tbody>
</table>
<p id="index-16">Notes:</p>
<ol class="arabic">
<li><p id="index-17">For (plain or long) integer division, the result is an integer. The result is
always rounded towards minus infinity: 1/2 is 0, (-1)/2 is -1, 1/(-2) is -1, and
(-1)/(-2) is 0.  Note that the result is a long integer if either operand is a
long integer, regardless of the numeric value.</p>
</li>
<li><p id="index-18">Conversion from floats using <a class="reference internal" href="functions.html#int" title="int"><tt class="xref py py-func docutils literal"><span class="pre">int()</span></tt></a> or <a class="reference internal" href="functions.html#long" title="long"><tt class="xref py py-func docutils literal"><span class="pre">long()</span></tt></a> truncates toward
zero like the related function, <a class="reference internal" href="math.html#math.trunc" title="math.trunc"><tt class="xref py py-func docutils literal"><span class="pre">math.trunc()</span></tt></a>.  Use the function
<a class="reference internal" href="math.html#math.floor" title="math.floor"><tt class="xref py py-func docutils literal"><span class="pre">math.floor()</span></tt></a> to round downward and <a class="reference internal" href="math.html#math.ceil" title="math.ceil"><tt class="xref py py-func docutils literal"><span class="pre">math.ceil()</span></tt></a> to round
upward.</p>
</li>
<li><p class="first">See <a class="reference internal" href="functions.html#built-in-funcs"><em>Built-in Functions</em></a> for a full description.</p>
</li>
<li><p class="first deprecated">
<span class="versionmodified">Deprecated since version 2.3: </span>The floor division operator, the modulo operator, and the <a class="reference internal" href="functions.html#divmod" title="divmod"><tt class="xref py py-func docutils literal"><span class="pre">divmod()</span></tt></a>
function are no longer defined for complex numbers.  Instead, convert to
a floating point number using the <a class="reference internal" href="functions.html#abs" title="abs"><tt class="xref py py-func docutils literal"><span class="pre">abs()</span></tt></a> function if appropriate.</p>
</li>
<li><p class="first">Also referred to as integer division.  The resultant value is a whole integer,
though the result&#8217;s type is not necessarily int.</p>
</li>
<li><p class="first">float also accepts the strings &#8220;nan&#8221; and &#8220;inf&#8221; with an optional prefix &#8220;+&#8221;
or &#8220;-&#8221; for Not a Number (NaN) and positive or negative infinity.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.6.</span></p>
</li>
<li><p class="first">Python defines <tt class="docutils literal"><span class="pre">pow(0,</span> <span class="pre">0)</span></tt> and <tt class="docutils literal"><span class="pre">0</span> <span class="pre">**</span> <span class="pre">0</span></tt> to be <tt class="docutils literal"><span class="pre">1</span></tt>, as is common for
programming languages.</p>
</li>
</ol>
<p>All <a class="reference internal" href="numbers.html#numbers.Real" title="numbers.Real"><tt class="xref py py-class docutils literal"><span class="pre">numbers.Real</span></tt></a> types (<a class="reference internal" href="functions.html#int" title="int"><tt class="xref py py-class docutils literal"><span class="pre">int</span></tt></a>, <a class="reference internal" href="functions.html#long" title="long"><tt class="xref py py-class docutils literal"><span class="pre">long</span></tt></a>, and
<a class="reference internal" href="functions.html#float" title="float"><tt class="xref py py-class docutils literal"><span class="pre">float</span></tt></a>) also include the following operations:</p>
<table border="1" class="docutils">
<colgroup>
<col width="31%" />
<col width="56%" />
<col width="13%" />
</colgroup>
<thead valign="bottom">
<tr><th class="head">Operation</th>
<th class="head">Result</th>
<th class="head">Notes</th>
</tr>
</thead>
<tbody valign="top">
<tr><td><tt class="docutils literal"><span class="pre">math.trunc(x)</span></tt></td>
<td><em>x</em> truncated to Integral</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">round(x[,</span> <span class="pre">n])</span></tt></td>
<td><em>x</em> rounded to n digits,
rounding ties away from zero. If n
is omitted, it defaults to 0.</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">math.floor(x)</span></tt></td>
<td>the greatest integral float &lt;= <em>x</em></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">math.ceil(x)</span></tt></td>
<td>the least integral float &gt;= <em>x</em></td>
<td>&nbsp;</td>
</tr>
</tbody>
</table>
<div class="section" id="bitwise-operations-on-integer-types">
<span id="bitstring-ops"></span><h3>5.4.1. Bitwise Operations on Integer Types<a class="headerlink" href="#bitwise-operations-on-integer-types" title="Permalink to this headline">¶</a></h3>
<p id="index-19">Bitwise operations only make sense for integers.  Negative numbers are treated
as their 2&#8217;s complement value (this assumes a sufficiently large number of bits
that no overflow occurs during the operation).</p>
<p>The priorities of the binary bitwise operations are all lower than the numeric
operations and higher than the comparisons; the unary operation <tt class="docutils literal"><span class="pre">~</span></tt> has the
same priority as the other unary numeric operations (<tt class="docutils literal"><span class="pre">+</span></tt> and <tt class="docutils literal"><span class="pre">-</span></tt>).</p>
<p>This table lists the bitwise operations sorted in ascending priority
(operations in the same box have the same priority):</p>
<table border="1" class="docutils">
<colgroup>
<col width="22%" />
<col width="59%" />
<col width="19%" />
</colgroup>
<thead valign="bottom">
<tr><th class="head">Operation</th>
<th class="head">Result</th>
<th class="head">Notes</th>
</tr>
</thead>
<tbody valign="top">
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">|</span> <span class="pre">y</span></tt></td>
<td>bitwise <em class="dfn">or</em> of <em>x</em> and
<em>y</em></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">^</span> <span class="pre">y</span></tt></td>
<td>bitwise <em class="dfn">exclusive or</em> of
<em>x</em> and <em>y</em></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">&amp;</span> <span class="pre">y</span></tt></td>
<td>bitwise <em class="dfn">and</em> of <em>x</em> and
<em>y</em></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">&lt;&lt;</span> <span class="pre">n</span></tt></td>
<td><em>x</em> shifted left by <em>n</em> bits</td>
<td>(1)(2)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">&gt;&gt;</span> <span class="pre">n</span></tt></td>
<td><em>x</em> shifted right by <em>n</em> bits</td>
<td>(1)(3)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">~x</span></tt></td>
<td>the bits of <em>x</em> inverted</td>
<td>&nbsp;</td>
</tr>
</tbody>
</table>
<p>Notes:</p>
<ol class="arabic simple">
<li>Negative shift counts are illegal and cause a <a class="reference internal" href="exceptions.html#exceptions.ValueError" title="exceptions.ValueError"><tt class="xref py py-exc docutils literal"><span class="pre">ValueError</span></tt></a> to be raised.</li>
<li>A left shift by <em>n</em> bits is equivalent to multiplication by <tt class="docutils literal"><span class="pre">pow(2,</span> <span class="pre">n)</span></tt>.  A
long integer is returned if the result exceeds the range of plain integers.</li>
<li>A right shift by <em>n</em> bits is equivalent to division by <tt class="docutils literal"><span class="pre">pow(2,</span> <span class="pre">n)</span></tt>.</li>
</ol>
</div>
<div class="section" id="additional-methods-on-integer-types">
<h3>5.4.2. Additional Methods on Integer Types<a class="headerlink" href="#additional-methods-on-integer-types" title="Permalink to this headline">¶</a></h3>
<p>The integer types implement the <a class="reference internal" href="numbers.html#numbers.Integral" title="numbers.Integral"><tt class="xref py py-class docutils literal"><span class="pre">numbers.Integral</span></tt></a> <a class="reference internal" href="../glossary.html#term-abstract-base-class"><em class="xref std std-term">abstract base
class</em></a>. In addition, they provide one more method:</p>
<dl class="method">
<dt id="int.bit_length">
<tt class="descclassname">int.</tt><tt class="descname">bit_length</tt><big>(</big><big>)</big><a class="headerlink" href="#int.bit_length" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>

<dl class="method">
<dt id="long.bit_length">
<tt class="descclassname">long.</tt><tt class="descname">bit_length</tt><big>(</big><big>)</big><a class="headerlink" href="#long.bit_length" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the number of bits necessary to represent an integer in binary,
excluding the sign and leading zeros:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">n</span> <span class="o">=</span> <span class="o">-</span><span class="mi">37</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">bin</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
<span class="go">&#39;-0b100101&#39;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">n</span><span class="o">.</span><span class="n">bit_length</span><span class="p">()</span>
<span class="go">6</span>
</pre></div>
</div>
<p>More precisely, if <tt class="docutils literal"><span class="pre">x</span></tt> is nonzero, then <tt class="docutils literal"><span class="pre">x.bit_length()</span></tt> is the
unique positive integer <tt class="docutils literal"><span class="pre">k</span></tt> such that <tt class="docutils literal"><span class="pre">2**(k-1)</span> <span class="pre">&lt;=</span> <span class="pre">abs(x)</span> <span class="pre">&lt;</span> <span class="pre">2**k</span></tt>.
Equivalently, when <tt class="docutils literal"><span class="pre">abs(x)</span></tt> is small enough to have a correctly
rounded logarithm, then <tt class="docutils literal"><span class="pre">k</span> <span class="pre">=</span> <span class="pre">1</span> <span class="pre">+</span> <span class="pre">int(log(abs(x),</span> <span class="pre">2))</span></tt>.
If <tt class="docutils literal"><span class="pre">x</span></tt> is zero, then <tt class="docutils literal"><span class="pre">x.bit_length()</span></tt> returns <tt class="docutils literal"><span class="pre">0</span></tt>.</p>
<p>Equivalent to:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="k">def</span> <span class="nf">bit_length</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
    <span class="n">s</span> <span class="o">=</span> <span class="nb">bin</span><span class="p">(</span><span class="bp">self</span><span class="p">)</span>       <span class="c"># binary representation:  bin(-37) --&gt; &#39;-0b100101&#39;</span>
    <span class="n">s</span> <span class="o">=</span> <span class="n">s</span><span class="o">.</span><span class="n">lstrip</span><span class="p">(</span><span class="s">&#39;-0b&#39;</span><span class="p">)</span> <span class="c"># remove leading zeros and minus sign</span>
    <span class="k">return</span> <span class="nb">len</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>       <span class="c"># len(&#39;100101&#39;) --&gt; 6</span>
</pre></div>
</div>
<p class="versionadded">
<span class="versionmodified">New in version 2.7.</span></p>
</dd></dl>

</div>
<div class="section" id="additional-methods-on-float">
<h3>5.4.3. Additional Methods on Float<a class="headerlink" href="#additional-methods-on-float" title="Permalink to this headline">¶</a></h3>
<p>The float type implements the <a class="reference internal" href="numbers.html#numbers.Real" title="numbers.Real"><tt class="xref py py-class docutils literal"><span class="pre">numbers.Real</span></tt></a> <a class="reference internal" href="../glossary.html#term-abstract-base-class"><em class="xref std std-term">abstract base
class</em></a>. float also has the following additional methods.</p>
<dl class="method">
<dt id="float.as_integer_ratio">
<tt class="descclassname">float.</tt><tt class="descname">as_integer_ratio</tt><big>(</big><big>)</big><a class="headerlink" href="#float.as_integer_ratio" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a pair of integers whose ratio is exactly equal to the
original float and with a positive denominator.  Raises
<a class="reference internal" href="exceptions.html#exceptions.OverflowError" title="exceptions.OverflowError"><tt class="xref py py-exc docutils literal"><span class="pre">OverflowError</span></tt></a> on infinities and a <a class="reference internal" href="exceptions.html#exceptions.ValueError" title="exceptions.ValueError"><tt class="xref py py-exc docutils literal"><span class="pre">ValueError</span></tt></a> on
NaNs.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.6.</span></p>
</dd></dl>

<dl class="method">
<dt id="float.is_integer">
<tt class="descclassname">float.</tt><tt class="descname">is_integer</tt><big>(</big><big>)</big><a class="headerlink" href="#float.is_integer" title="Permalink to this definition">¶</a></dt>
<dd><p>Return <tt class="xref docutils literal"><span class="pre">True</span></tt> if the float instance is finite with integral
value, and <tt class="xref docutils literal"><span class="pre">False</span></tt> otherwise:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="p">(</span><span class="o">-</span><span class="mf">2.0</span><span class="p">)</span><span class="o">.</span><span class="n">is_integer</span><span class="p">()</span>
<span class="go">True</span>
<span class="gp">&gt;&gt;&gt; </span><span class="p">(</span><span class="mf">3.2</span><span class="p">)</span><span class="o">.</span><span class="n">is_integer</span><span class="p">()</span>
<span class="go">False</span>
</pre></div>
</div>
<p class="versionadded">
<span class="versionmodified">New in version 2.6.</span></p>
</dd></dl>

<p>Two methods support conversion to
and from hexadecimal strings.  Since Python&#8217;s floats are stored
internally as binary numbers, converting a float to or from a
<em>decimal</em> string usually involves a small rounding error.  In
contrast, hexadecimal strings allow exact representation and
specification of floating-point numbers.  This can be useful when
debugging, and in numerical work.</p>
<dl class="method">
<dt id="float.hex">
<tt class="descclassname">float.</tt><tt class="descname">hex</tt><big>(</big><big>)</big><a class="headerlink" href="#float.hex" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a representation of a floating-point number as a hexadecimal
string.  For finite floating-point numbers, this representation
will always include a leading <tt class="docutils literal"><span class="pre">0x</span></tt> and a trailing <tt class="docutils literal"><span class="pre">p</span></tt> and
exponent.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.6.</span></p>
</dd></dl>

<dl class="method">
<dt id="float.fromhex">
<tt class="descclassname">float.</tt><tt class="descname">fromhex</tt><big>(</big><em>s</em><big>)</big><a class="headerlink" href="#float.fromhex" title="Permalink to this definition">¶</a></dt>
<dd><p>Class method to return the float represented by a hexadecimal
string <em>s</em>.  The string <em>s</em> may have leading and trailing
whitespace.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.6.</span></p>
</dd></dl>

<p>Note that <a class="reference internal" href="#float.hex" title="float.hex"><tt class="xref py py-meth docutils literal"><span class="pre">float.hex()</span></tt></a> is an instance method, while
<a class="reference internal" href="#float.fromhex" title="float.fromhex"><tt class="xref py py-meth docutils literal"><span class="pre">float.fromhex()</span></tt></a> is a class method.</p>
<p>A hexadecimal string takes the form:</p>
<div class="highlight-python"><pre>[sign] ['0x'] integer ['.' fraction] ['p' exponent]</pre>
</div>
<p>where the optional <tt class="docutils literal"><span class="pre">sign</span></tt> may by either <tt class="docutils literal"><span class="pre">+</span></tt> or <tt class="docutils literal"><span class="pre">-</span></tt>, <tt class="docutils literal"><span class="pre">integer</span></tt>
and <tt class="docutils literal"><span class="pre">fraction</span></tt> are strings of hexadecimal digits, and <tt class="docutils literal"><span class="pre">exponent</span></tt>
is a decimal integer with an optional leading sign.  Case is not
significant, and there must be at least one hexadecimal digit in
either the integer or the fraction.  This syntax is similar to the
syntax specified in section 6.4.4.2 of the C99 standard, and also to
the syntax used in Java 1.5 onwards.  In particular, the output of
<a class="reference internal" href="#float.hex" title="float.hex"><tt class="xref py py-meth docutils literal"><span class="pre">float.hex()</span></tt></a> is usable as a hexadecimal floating-point literal in
C or Java code, and hexadecimal strings produced by C&#8217;s <tt class="docutils literal"><span class="pre">%a</span></tt> format
character or Java&#8217;s <tt class="docutils literal"><span class="pre">Double.toHexString</span></tt> are accepted by
<a class="reference internal" href="#float.fromhex" title="float.fromhex"><tt class="xref py py-meth docutils literal"><span class="pre">float.fromhex()</span></tt></a>.</p>
<p>Note that the exponent is written in decimal rather than hexadecimal,
and that it gives the power of 2 by which to multiply the coefficient.
For example, the hexadecimal string <tt class="docutils literal"><span class="pre">0x3.a7p10</span></tt> represents the
floating-point number <tt class="docutils literal"><span class="pre">(3</span> <span class="pre">+</span> <span class="pre">10./16</span> <span class="pre">+</span> <span class="pre">7./16**2)</span> <span class="pre">*</span> <span class="pre">2.0**10</span></tt>, or
<tt class="docutils literal"><span class="pre">3740.0</span></tt>:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="nb">float</span><span class="o">.</span><span class="n">fromhex</span><span class="p">(</span><span class="s">&#39;0x3.a7p10&#39;</span><span class="p">)</span>
<span class="go">3740.0</span>
</pre></div>
</div>
<p>Applying the reverse conversion to <tt class="docutils literal"><span class="pre">3740.0</span></tt> gives a different
hexadecimal string representing the same number:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="nb">float</span><span class="o">.</span><span class="n">hex</span><span class="p">(</span><span class="mf">3740.0</span><span class="p">)</span>
<span class="go">&#39;0x1.d380000000000p+11&#39;</span>
</pre></div>
</div>
</div>
</div>
<div class="section" id="iterator-types">
<span id="typeiter"></span><h2>5.5. Iterator Types<a class="headerlink" href="#iterator-types" title="Permalink to this headline">¶</a></h2>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
<p id="index-20">Python supports a concept of iteration over containers.  This is implemented
using two distinct methods; these are used to allow user-defined classes to
support iteration.  Sequences, described below in more detail, always support
the iteration methods.</p>
<p>One method needs to be defined for container objects to provide iteration
support:</p>
<dl class="method">
<dt id="container.__iter__">
<tt class="descclassname">container.</tt><tt class="descname">__iter__</tt><big>(</big><big>)</big><a class="headerlink" href="#container.__iter__" title="Permalink to this definition">¶</a></dt>
<dd><p>Return an iterator object.  The object is required to support the iterator
protocol described below.  If a container supports different types of
iteration, additional methods can be provided to specifically request
iterators for those iteration types.  (An example of an object supporting
multiple forms of iteration would be a tree structure which supports both
breadth-first and depth-first traversal.)  This method corresponds to the
<a class="reference internal" href="../c-api/typeobj.html#PyTypeObject.tp_iter" title="PyTypeObject.tp_iter"><tt class="xref c c-member docutils literal"><span class="pre">tp_iter</span></tt></a> slot of the type structure for Python objects in the Python/C
API.</p>
</dd></dl>

<p>The iterator objects themselves are required to support the following two
methods, which together form the <em class="dfn">iterator protocol</em>:</p>
<dl class="method">
<dt id="iterator.__iter__">
<tt class="descclassname">iterator.</tt><tt class="descname">__iter__</tt><big>(</big><big>)</big><a class="headerlink" href="#iterator.__iter__" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the iterator object itself.  This is required to allow both containers
and iterators to be used with the <a class="reference internal" href="../reference/compound_stmts.html#for"><tt class="xref std std-keyword docutils literal"><span class="pre">for</span></tt></a> and <a class="reference internal" href="../reference/expressions.html#in"><tt class="xref std std-keyword docutils literal"><span class="pre">in</span></tt></a> statements.
This method corresponds to the <a class="reference internal" href="../c-api/typeobj.html#PyTypeObject.tp_iter" title="PyTypeObject.tp_iter"><tt class="xref c c-member docutils literal"><span class="pre">tp_iter</span></tt></a> slot of the type structure for
Python objects in the Python/C API.</p>
</dd></dl>

<dl class="method">
<dt id="iterator.next">
<tt class="descclassname">iterator.</tt><tt class="descname">next</tt><big>(</big><big>)</big><a class="headerlink" href="#iterator.next" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the next item from the container.  If there are no further items, raise
the <a class="reference internal" href="exceptions.html#exceptions.StopIteration" title="exceptions.StopIteration"><tt class="xref py py-exc docutils literal"><span class="pre">StopIteration</span></tt></a> exception.  This method corresponds to the
<a class="reference internal" href="../c-api/typeobj.html#PyTypeObject.tp_iternext" title="PyTypeObject.tp_iternext"><tt class="xref c c-member docutils literal"><span class="pre">tp_iternext</span></tt></a> slot of the type structure for Python objects in the
Python/C API.</p>
</dd></dl>

<p>Python defines several iterator objects to support iteration over general and
specific sequence types, dictionaries, and other more specialized forms.  The
specific types are not important beyond their implementation of the iterator
protocol.</p>
<p>The intention of the protocol is that once an iterator&#8217;s <a class="reference internal" href="functions.html#next" title="next"><tt class="xref py py-meth docutils literal"><span class="pre">next()</span></tt></a> method
raises <a class="reference internal" href="exceptions.html#exceptions.StopIteration" title="exceptions.StopIteration"><tt class="xref py py-exc docutils literal"><span class="pre">StopIteration</span></tt></a>, it will continue to do so on subsequent calls.
Implementations that do not obey this property are deemed broken.  (This
constraint was added in Python 2.3; in Python 2.2, various iterators are broken
according to this rule.)</p>
<div class="section" id="generator-types">
<span id="id3"></span><h3>5.5.1. Generator Types<a class="headerlink" href="#generator-types" title="Permalink to this headline">¶</a></h3>
<p>Python&#8217;s <a class="reference internal" href="../glossary.html#term-generator"><em class="xref std std-term">generator</em></a>s provide a convenient way to implement the iterator
protocol.  If a container object&#8217;s <a class="reference internal" href="../reference/datamodel.html#object.__iter__" title="object.__iter__"><tt class="xref py py-meth docutils literal"><span class="pre">__iter__()</span></tt></a> method is implemented as a
generator, it will automatically return an iterator object (technically, a
generator object) supplying the <a class="reference internal" href="../reference/datamodel.html#object.__iter__" title="object.__iter__"><tt class="xref py py-meth docutils literal"><span class="pre">__iter__()</span></tt></a> and <a class="reference internal" href="functions.html#next" title="next"><tt class="xref py py-meth docutils literal"><span class="pre">next()</span></tt></a> methods.  More
information about generators can be found in <a class="reference internal" href="../reference/expressions.html#yieldexpr"><em>the documentation for the
yield expression</em></a>.</p>
</div>
</div>
<div class="section" id="sequence-types-str-unicode-list-tuple-bytearray-buffer-xrange">
<span id="typesseq"></span><h2>5.6. Sequence Types &#8212; <a class="reference internal" href="functions.html#str" title="str"><tt class="xref py py-class docutils literal"><span class="pre">str</span></tt></a>, <a class="reference internal" href="functions.html#unicode" title="unicode"><tt class="xref py py-class docutils literal"><span class="pre">unicode</span></tt></a>, <a class="reference internal" href="functions.html#list" title="list"><tt class="xref py py-class docutils literal"><span class="pre">list</span></tt></a>, <a class="reference internal" href="functions.html#tuple" title="tuple"><tt class="xref py py-class docutils literal"><span class="pre">tuple</span></tt></a>, <a class="reference internal" href="functions.html#bytearray" title="bytearray"><tt class="xref py py-class docutils literal"><span class="pre">bytearray</span></tt></a>, <a class="reference internal" href="functions.html#buffer" title="buffer"><tt class="xref py py-class docutils literal"><span class="pre">buffer</span></tt></a>, <a class="reference internal" href="functions.html#xrange" title="xrange"><tt class="xref py py-class docutils literal"><span class="pre">xrange</span></tt></a><a class="headerlink" href="#sequence-types-str-unicode-list-tuple-bytearray-buffer-xrange" title="Permalink to this headline">¶</a></h2>
<p>There are seven sequence types: strings, Unicode strings, lists, tuples,
bytearrays, buffers, and xrange objects.</p>
<p>For other containers see the built in <a class="reference internal" href="#dict" title="dict"><tt class="xref py py-class docutils literal"><span class="pre">dict</span></tt></a> and <a class="reference internal" href="#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a> classes,
and the <a class="reference internal" href="collections.html#module-collections" title="collections: High-performance datatypes"><tt class="xref py py-mod docutils literal"><span class="pre">collections</span></tt></a> module.</p>
<p id="index-21">String literals are written in single or double quotes: <tt class="docutils literal"><span class="pre">'xyzzy'</span></tt>,
<tt class="docutils literal"><span class="pre">&quot;frobozz&quot;</span></tt>.  See <a class="reference internal" href="../reference/lexical_analysis.html#strings"><em>String literals</em></a> for more about string literals.
Unicode strings are much like strings, but are specified in the syntax
using a preceding <tt class="docutils literal"><span class="pre">'u'</span></tt> character: <tt class="docutils literal"><span class="pre">u'abc'</span></tt>, <tt class="docutils literal"><span class="pre">u&quot;def&quot;</span></tt>. In addition
to the functionality described here, there are also string-specific
methods described in the <a class="reference internal" href="#string-methods"><em>String Methods</em></a> section. Lists are
constructed with square brackets, separating items with commas: <tt class="docutils literal"><span class="pre">[a,</span> <span class="pre">b,</span> <span class="pre">c]</span></tt>.
Tuples are constructed by the comma operator (not within square
brackets), with or without enclosing parentheses, but an empty tuple
must have the enclosing parentheses, such as <tt class="docutils literal"><span class="pre">a,</span> <span class="pre">b,</span> <span class="pre">c</span></tt> or <tt class="docutils literal"><span class="pre">()</span></tt>.  A
single item tuple must have a trailing comma, such as <tt class="docutils literal"><span class="pre">(d,)</span></tt>.</p>
<p>Bytearray objects are created with the built-in function <a class="reference internal" href="functions.html#bytearray" title="bytearray"><tt class="xref py py-func docutils literal"><span class="pre">bytearray()</span></tt></a>.</p>
<p>Buffer objects are not directly supported by Python syntax, but can be created
by calling the built-in function <a class="reference internal" href="functions.html#buffer" title="buffer"><tt class="xref py py-func docutils literal"><span class="pre">buffer()</span></tt></a>.  They don&#8217;t support
concatenation or repetition.</p>
<p>Objects of type xrange are similar to buffers in that there is no specific syntax to
create them, but they are created using the <a class="reference internal" href="functions.html#xrange" title="xrange"><tt class="xref py py-func docutils literal"><span class="pre">xrange()</span></tt></a> function.  They don&#8217;t
support slicing, concatenation or repetition, and using <tt class="docutils literal"><span class="pre">in</span></tt>, <tt class="docutils literal"><span class="pre">not</span> <span class="pre">in</span></tt>,
<a class="reference internal" href="functions.html#min" title="min"><tt class="xref py py-func docutils literal"><span class="pre">min()</span></tt></a> or <a class="reference internal" href="functions.html#max" title="max"><tt class="xref py py-func docutils literal"><span class="pre">max()</span></tt></a> on them is inefficient.</p>
<p>Most sequence types support the following operations.  The <tt class="docutils literal"><span class="pre">in</span></tt> and <tt class="docutils literal"><span class="pre">not</span> <span class="pre">in</span></tt>
operations have the same priorities as the comparison operations.  The <tt class="docutils literal"><span class="pre">+</span></tt> and
<tt class="docutils literal"><span class="pre">*</span></tt> operations have the same priority as the corresponding numeric operations.
<a class="footnote-reference" href="#id14" id="id4">[3]</a> Additional methods are provided for <a class="reference internal" href="#typesseq-mutable"><em>Mutable Sequence Types</em></a>.</p>
<p>This table lists the sequence operations sorted in ascending priority
(operations in the same box have the same priority).  In the table, <em>s</em> and <em>t</em>
are sequences of the same type; <em>n</em>, <em>i</em> and <em>j</em> are integers:</p>
<table border="1" class="docutils">
<colgroup>
<col width="30%" />
<col width="53%" />
<col width="17%" />
</colgroup>
<thead valign="bottom">
<tr><th class="head">Operation</th>
<th class="head">Result</th>
<th class="head">Notes</th>
</tr>
</thead>
<tbody valign="top">
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">in</span> <span class="pre">s</span></tt></td>
<td><tt class="xref docutils literal"><span class="pre">True</span></tt> if an item of <em>s</em> is
equal to <em>x</em>, else <tt class="xref docutils literal"><span class="pre">False</span></tt></td>
<td>(1)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">x</span> <span class="pre">not</span> <span class="pre">in</span> <span class="pre">s</span></tt></td>
<td><tt class="xref docutils literal"><span class="pre">False</span></tt> if an item of <em>s</em> is
equal to <em>x</em>, else <tt class="xref docutils literal"><span class="pre">True</span></tt></td>
<td>(1)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s</span> <span class="pre">+</span> <span class="pre">t</span></tt></td>
<td>the concatenation of <em>s</em> and
<em>t</em></td>
<td>(6)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s</span> <span class="pre">*</span> <span class="pre">n,</span> <span class="pre">n</span> <span class="pre">*</span> <span class="pre">s</span></tt></td>
<td><em>n</em> shallow copies of <em>s</em>
concatenated</td>
<td>(2)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s[i]</span></tt></td>
<td><em>i</em>th item of <em>s</em>, origin 0</td>
<td>(3)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s[i:j]</span></tt></td>
<td>slice of <em>s</em> from <em>i</em> to <em>j</em></td>
<td>(3)(4)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s[i:j:k]</span></tt></td>
<td>slice of <em>s</em> from <em>i</em> to <em>j</em>
with step <em>k</em></td>
<td>(3)(5)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">len(s)</span></tt></td>
<td>length of <em>s</em></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">min(s)</span></tt></td>
<td>smallest item of <em>s</em></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">max(s)</span></tt></td>
<td>largest item of <em>s</em></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s.index(x)</span></tt></td>
<td>index of the first occurrence
of <em>x</em> in <em>s</em></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s.count(x)</span></tt></td>
<td>total number of occurrences of
<em>x</em> in <em>s</em></td>
<td>&nbsp;</td>
</tr>
</tbody>
</table>
<p>Sequence types also support comparisons. In particular, tuples and lists
are compared lexicographically by comparing corresponding
elements. This means that to compare equal, every element must compare
equal and the two sequences must be of the same type and have the same
length. (For full details see <a class="reference internal" href="../reference/expressions.html#comparisons"><em>Comparisons</em></a> in the language
reference.)</p>
<p id="index-22">Notes:</p>
<ol class="arabic">
<li><p class="first">When <em>s</em> is a string or Unicode string object the <tt class="docutils literal"><span class="pre">in</span></tt> and <tt class="docutils literal"><span class="pre">not</span> <span class="pre">in</span></tt>
operations act like a substring test.  In Python versions before 2.3, <em>x</em> had to
be a string of length 1. In Python 2.3 and beyond, <em>x</em> may be a string of any
length.</p>
</li>
<li><p class="first">Values of <em>n</em> less than <tt class="docutils literal"><span class="pre">0</span></tt> are treated as <tt class="docutils literal"><span class="pre">0</span></tt> (which yields an empty
sequence of the same type as <em>s</em>).  Note also that the copies are shallow;
nested structures are not copied.  This often haunts new Python programmers;
consider:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">lists</span> <span class="o">=</span> <span class="p">[[]]</span> <span class="o">*</span> <span class="mi">3</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lists</span>
<span class="go">[[], [], []]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lists</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lists</span>
<span class="go">[[3], [3], [3]]</span>
</pre></div>
</div>
<p>What has happened is that <tt class="docutils literal"><span class="pre">[[]]</span></tt> is a one-element list containing an empty
list, so all three elements of <tt class="docutils literal"><span class="pre">[[]]</span> <span class="pre">*</span> <span class="pre">3</span></tt> are (pointers to) this single empty
list.  Modifying any of the elements of <tt class="docutils literal"><span class="pre">lists</span></tt> modifies this single list.
You can create a list of different lists this way:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">lists</span> <span class="o">=</span> <span class="p">[[]</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">3</span><span class="p">)]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lists</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lists</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="mi">5</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lists</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="mi">7</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">lists</span>
<span class="go">[[3], [5], [7]]</span>
</pre></div>
</div>
</li>
<li><p class="first">If <em>i</em> or <em>j</em> is negative, the index is relative to the end of the string:
<tt class="docutils literal"><span class="pre">len(s)</span> <span class="pre">+</span> <span class="pre">i</span></tt> or <tt class="docutils literal"><span class="pre">len(s)</span> <span class="pre">+</span> <span class="pre">j</span></tt> is substituted.  But note that <tt class="docutils literal"><span class="pre">-0</span></tt> is still
<tt class="docutils literal"><span class="pre">0</span></tt>.</p>
</li>
<li><p class="first">The slice of <em>s</em> from <em>i</em> to <em>j</em> is defined as the sequence of items with index
<em>k</em> such that <tt class="docutils literal"><span class="pre">i</span> <span class="pre">&lt;=</span> <span class="pre">k</span> <span class="pre">&lt;</span> <span class="pre">j</span></tt>.  If <em>i</em> or <em>j</em> is greater than <tt class="docutils literal"><span class="pre">len(s)</span></tt>, use
<tt class="docutils literal"><span class="pre">len(s)</span></tt>.  If <em>i</em> is omitted or <tt class="xref docutils literal"><span class="pre">None</span></tt>, use <tt class="docutils literal"><span class="pre">0</span></tt>.  If <em>j</em> is omitted or
<tt class="xref docutils literal"><span class="pre">None</span></tt>, use <tt class="docutils literal"><span class="pre">len(s)</span></tt>.  If <em>i</em> is greater than or equal to <em>j</em>, the slice is
empty.</p>
</li>
<li><p class="first">The slice of <em>s</em> from <em>i</em> to <em>j</em> with step <em>k</em> is defined as the sequence of
items with index  <tt class="docutils literal"><span class="pre">x</span> <span class="pre">=</span> <span class="pre">i</span> <span class="pre">+</span> <span class="pre">n*k</span></tt> such that <tt class="docutils literal"><span class="pre">0</span> <span class="pre">&lt;=</span> <span class="pre">n</span> <span class="pre">&lt;</span> <span class="pre">(j-i)/k</span></tt>.  In other words,
the indices are <tt class="docutils literal"><span class="pre">i</span></tt>, <tt class="docutils literal"><span class="pre">i+k</span></tt>, <tt class="docutils literal"><span class="pre">i+2*k</span></tt>, <tt class="docutils literal"><span class="pre">i+3*k</span></tt> and so on, stopping when
<em>j</em> is reached (but never including <em>j</em>).  If <em>i</em> or <em>j</em> is greater than
<tt class="docutils literal"><span class="pre">len(s)</span></tt>, use <tt class="docutils literal"><span class="pre">len(s)</span></tt>.  If <em>i</em> or <em>j</em> are omitted or <tt class="xref docutils literal"><span class="pre">None</span></tt>, they become
&#8220;end&#8221; values (which end depends on the sign of <em>k</em>).  Note, <em>k</em> cannot be zero.
If <em>k</em> is <tt class="xref docutils literal"><span class="pre">None</span></tt>, it is treated like <tt class="docutils literal"><span class="pre">1</span></tt>.</p>
</li>
<li><div class="impl-detail first compound">
<p><strong>CPython implementation detail:</strong> If <em>s</em> and <em>t</em> are both strings, some Python implementations such as
CPython can usually perform an in-place optimization for assignments of
the form <tt class="docutils literal"><span class="pre">s</span> <span class="pre">=</span> <span class="pre">s</span> <span class="pre">+</span> <span class="pre">t</span></tt> or <tt class="docutils literal"><span class="pre">s</span> <span class="pre">+=</span> <span class="pre">t</span></tt>.  When applicable, this optimization
makes quadratic run-time much less likely.  This optimization is both
version and implementation dependent.  For performance sensitive code, it
is preferable to use the <a class="reference internal" href="#str.join" title="str.join"><tt class="xref py py-meth docutils literal"><span class="pre">str.join()</span></tt></a> method which assures consistent
linear concatenation performance across versions and implementations.</p>
</div>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.4: </span>Formerly, string concatenation never occurred in-place.</p>
</li>
</ol>
<div class="section" id="string-methods">
<span id="id5"></span><h3>5.6.1. String Methods<a class="headerlink" href="#string-methods" title="Permalink to this headline">¶</a></h3>
<p id="index-23">Below are listed the string methods which both 8-bit strings and
Unicode objects support.  Some of them are also available on <a class="reference internal" href="functions.html#bytearray" title="bytearray"><tt class="xref py py-class docutils literal"><span class="pre">bytearray</span></tt></a>
objects.</p>
<p>In addition, Python&#8217;s strings support the sequence type methods
described in the <a class="reference internal" href="#typesseq"><em>Sequence Types &#8212; str, unicode, list, tuple, bytearray, buffer, xrange</em></a> section. To output formatted strings
use template strings or the <tt class="docutils literal"><span class="pre">%</span></tt> operator described in the
<a class="reference internal" href="#string-formatting"><em>String Formatting Operations</em></a> section. Also, see the <a class="reference internal" href="re.html#module-re" title="re: Regular expression operations."><tt class="xref py py-mod docutils literal"><span class="pre">re</span></tt></a> module for
string functions based on regular expressions.</p>
<dl class="method">
<dt id="str.capitalize">
<tt class="descclassname">str.</tt><tt class="descname">capitalize</tt><big>(</big><big>)</big><a class="headerlink" href="#str.capitalize" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a copy of the string with its first character capitalized and the
rest lowercased.</p>
<p>For 8-bit strings, this method is locale-dependent.</p>
</dd></dl>

<dl class="method">
<dt id="str.center">
<tt class="descclassname">str.</tt><tt class="descname">center</tt><big>(</big><em>width</em><span class="optional">[</span>, <em>fillchar</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.center" title="Permalink to this definition">¶</a></dt>
<dd><p>Return centered in a string of length <em>width</em>. Padding is done using the
specified <em>fillchar</em> (default is a space).</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.4: </span>Support for the <em>fillchar</em> argument.</p>
</dd></dl>

<dl class="method">
<dt id="str.count">
<tt class="descclassname">str.</tt><tt class="descname">count</tt><big>(</big><em>sub</em><span class="optional">[</span>, <em>start</em><span class="optional">[</span>, <em>end</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.count" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the number of non-overlapping occurrences of substring <em>sub</em> in the
range [<em>start</em>, <em>end</em>].  Optional arguments <em>start</em> and <em>end</em> are
interpreted as in slice notation.</p>
</dd></dl>

<dl class="method">
<dt id="str.decode">
<tt class="descclassname">str.</tt><tt class="descname">decode</tt><big>(</big><span class="optional">[</span><em>encoding</em><span class="optional">[</span>, <em>errors</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.decode" title="Permalink to this definition">¶</a></dt>
<dd><p>Decodes the string using the codec registered for <em>encoding</em>. <em>encoding</em>
defaults to the default string encoding.  <em>errors</em> may be given to set a
different error handling scheme.  The default is <tt class="docutils literal"><span class="pre">'strict'</span></tt>, meaning that
encoding errors raise <a class="reference internal" href="exceptions.html#exceptions.UnicodeError" title="exceptions.UnicodeError"><tt class="xref py py-exc docutils literal"><span class="pre">UnicodeError</span></tt></a>.  Other possible values are
<tt class="docutils literal"><span class="pre">'ignore'</span></tt>, <tt class="docutils literal"><span class="pre">'replace'</span></tt> and any other name registered via
<a class="reference internal" href="codecs.html#codecs.register_error" title="codecs.register_error"><tt class="xref py py-func docutils literal"><span class="pre">codecs.register_error()</span></tt></a>, see section <a class="reference internal" href="codecs.html#codec-base-classes"><em>Codec Base Classes</em></a>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.3: </span>Support for other error handling schemes added.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.7: </span>Support for keyword arguments added.</p>
</dd></dl>

<dl class="method">
<dt id="str.encode">
<tt class="descclassname">str.</tt><tt class="descname">encode</tt><big>(</big><span class="optional">[</span><em>encoding</em><span class="optional">[</span>, <em>errors</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.encode" title="Permalink to this definition">¶</a></dt>
<dd><p>Return an encoded version of the string.  Default encoding is the current
default string encoding.  <em>errors</em> may be given to set a different error
handling scheme.  The default for <em>errors</em> is <tt class="docutils literal"><span class="pre">'strict'</span></tt>, meaning that
encoding errors raise a <a class="reference internal" href="exceptions.html#exceptions.UnicodeError" title="exceptions.UnicodeError"><tt class="xref py py-exc docutils literal"><span class="pre">UnicodeError</span></tt></a>.  Other possible values are
<tt class="docutils literal"><span class="pre">'ignore'</span></tt>, <tt class="docutils literal"><span class="pre">'replace'</span></tt>, <tt class="docutils literal"><span class="pre">'xmlcharrefreplace'</span></tt>, <tt class="docutils literal"><span class="pre">'backslashreplace'</span></tt> and
any other name registered via <a class="reference internal" href="codecs.html#codecs.register_error" title="codecs.register_error"><tt class="xref py py-func docutils literal"><span class="pre">codecs.register_error()</span></tt></a>, see section
<a class="reference internal" href="codecs.html#codec-base-classes"><em>Codec Base Classes</em></a>. For a list of possible encodings, see section
<a class="reference internal" href="codecs.html#standard-encodings"><em>Standard Encodings</em></a>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.0.</span></p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.3: </span>Support for <tt class="docutils literal"><span class="pre">'xmlcharrefreplace'</span></tt> and <tt class="docutils literal"><span class="pre">'backslashreplace'</span></tt> and other error
handling schemes added.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.7: </span>Support for keyword arguments added.</p>
</dd></dl>

<dl class="method">
<dt id="str.endswith">
<tt class="descclassname">str.</tt><tt class="descname">endswith</tt><big>(</big><em>suffix</em><span class="optional">[</span>, <em>start</em><span class="optional">[</span>, <em>end</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.endswith" title="Permalink to this definition">¶</a></dt>
<dd><p>Return <tt class="xref docutils literal"><span class="pre">True</span></tt> if the string ends with the specified <em>suffix</em>, otherwise return
<tt class="xref docutils literal"><span class="pre">False</span></tt>.  <em>suffix</em> can also be a tuple of suffixes to look for.  With optional
<em>start</em>, test beginning at that position.  With optional <em>end</em>, stop comparing
at that position.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.5: </span>Accept tuples as <em>suffix</em>.</p>
</dd></dl>

<dl class="method">
<dt id="str.expandtabs">
<tt class="descclassname">str.</tt><tt class="descname">expandtabs</tt><big>(</big><span class="optional">[</span><em>tabsize</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.expandtabs" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a copy of the string where all tab characters are replaced by one or
more spaces, depending on the current column and the given tab size.  Tab
positions occur every <em>tabsize</em> characters (default is 8, giving tab
positions at columns 0, 8, 16 and so on).  To expand the string, the current
column is set to zero and the string is examined character by character.  If
the character is a tab (<tt class="docutils literal"><span class="pre">\t</span></tt>), one or more space characters are inserted
in the result until the current column is equal to the next tab position.
(The tab character itself is not copied.)  If the character is a newline
(<tt class="docutils literal"><span class="pre">\n</span></tt>) or return (<tt class="docutils literal"><span class="pre">\r</span></tt>), it is copied and the current column is reset to
zero.  Any other character is copied unchanged and the current column is
incremented by one regardless of how the character is represented when
printed.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="s">&#39;01</span><span class="se">\t</span><span class="s">012</span><span class="se">\t</span><span class="s">0123</span><span class="se">\t</span><span class="s">01234&#39;</span><span class="o">.</span><span class="n">expandtabs</span><span class="p">()</span>
<span class="go">&#39;01      012     0123    01234&#39;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="s">&#39;01</span><span class="se">\t</span><span class="s">012</span><span class="se">\t</span><span class="s">0123</span><span class="se">\t</span><span class="s">01234&#39;</span><span class="o">.</span><span class="n">expandtabs</span><span class="p">(</span><span class="mi">4</span><span class="p">)</span>
<span class="go">&#39;01  012 0123    01234&#39;</span>
</pre></div>
</div>
</dd></dl>

<dl class="method">
<dt id="str.find">
<tt class="descclassname">str.</tt><tt class="descname">find</tt><big>(</big><em>sub</em><span class="optional">[</span>, <em>start</em><span class="optional">[</span>, <em>end</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.find" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the lowest index in the string where substring <em>sub</em> is found, such
that <em>sub</em> is contained in the slice <tt class="docutils literal"><span class="pre">s[start:end]</span></tt>.  Optional arguments
<em>start</em> and <em>end</em> are interpreted as in slice notation.  Return <tt class="docutils literal"><span class="pre">-1</span></tt> if
<em>sub</em> is not found.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p>The <a class="reference internal" href="#str.find" title="str.find"><tt class="xref py py-meth docutils literal"><span class="pre">find()</span></tt></a> method should be used only if you need to know the
position of <em>sub</em>.  To check if <em>sub</em> is a substring or not, use the
<a class="reference internal" href="../reference/expressions.html#in"><tt class="xref std std-keyword docutils literal"><span class="pre">in</span></tt></a> operator:</p>
<div class="last highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="s">&#39;Py&#39;</span> <span class="ow">in</span> <span class="s">&#39;Python&#39;</span>
<span class="go">True</span>
</pre></div>
</div>
</div>
</dd></dl>

<dl class="method">
<dt id="str.format">
<tt class="descclassname">str.</tt><tt class="descname">format</tt><big>(</big><em>*args</em>, <em>**kwargs</em><big>)</big><a class="headerlink" href="#str.format" title="Permalink to this definition">¶</a></dt>
<dd><p>Perform a string formatting operation.  The string on which this method is
called can contain literal text or replacement fields delimited by braces
<tt class="docutils literal"><span class="pre">{}</span></tt>.  Each replacement field contains either the numeric index of a
positional argument, or the name of a keyword argument.  Returns a copy of
the string where each replacement field is replaced with the string value of
the corresponding argument.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="s">&quot;The sum of 1 + 2 is {0}&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="mi">1</span><span class="o">+</span><span class="mi">2</span><span class="p">)</span>
<span class="go">&#39;The sum of 1 + 2 is 3&#39;</span>
</pre></div>
</div>
<p>See <a class="reference internal" href="string.html#formatstrings"><em>Format String Syntax</em></a> for a description of the various formatting options
that can be specified in format strings.</p>
<p>This method of string formatting is the new standard in Python 3, and
should be preferred to the <tt class="docutils literal"><span class="pre">%</span></tt> formatting described in
<a class="reference internal" href="#string-formatting"><em>String Formatting Operations</em></a> in new code.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.6.</span></p>
</dd></dl>

<dl class="method">
<dt id="str.index">
<tt class="descclassname">str.</tt><tt class="descname">index</tt><big>(</big><em>sub</em><span class="optional">[</span>, <em>start</em><span class="optional">[</span>, <em>end</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.index" title="Permalink to this definition">¶</a></dt>
<dd><p>Like <a class="reference internal" href="#str.find" title="str.find"><tt class="xref py py-meth docutils literal"><span class="pre">find()</span></tt></a>, but raise <a class="reference internal" href="exceptions.html#exceptions.ValueError" title="exceptions.ValueError"><tt class="xref py py-exc docutils literal"><span class="pre">ValueError</span></tt></a> when the substring is not found.</p>
</dd></dl>

<dl class="method">
<dt id="str.isalnum">
<tt class="descclassname">str.</tt><tt class="descname">isalnum</tt><big>(</big><big>)</big><a class="headerlink" href="#str.isalnum" title="Permalink to this definition">¶</a></dt>
<dd><p>Return true if all characters in the string are alphanumeric and there is at
least one character, false otherwise.</p>
<p>For 8-bit strings, this method is locale-dependent.</p>
</dd></dl>

<dl class="method">
<dt id="str.isalpha">
<tt class="descclassname">str.</tt><tt class="descname">isalpha</tt><big>(</big><big>)</big><a class="headerlink" href="#str.isalpha" title="Permalink to this definition">¶</a></dt>
<dd><p>Return true if all characters in the string are alphabetic and there is at least
one character, false otherwise.</p>
<p>For 8-bit strings, this method is locale-dependent.</p>
</dd></dl>

<dl class="method">
<dt id="str.isdigit">
<tt class="descclassname">str.</tt><tt class="descname">isdigit</tt><big>(</big><big>)</big><a class="headerlink" href="#str.isdigit" title="Permalink to this definition">¶</a></dt>
<dd><p>Return true if all characters in the string are digits and there is at least one
character, false otherwise.</p>
<p>For 8-bit strings, this method is locale-dependent.</p>
</dd></dl>

<dl class="method">
<dt id="str.islower">
<tt class="descclassname">str.</tt><tt class="descname">islower</tt><big>(</big><big>)</big><a class="headerlink" href="#str.islower" title="Permalink to this definition">¶</a></dt>
<dd><p>Return true if all cased characters <a class="footnote-reference" href="#id15" id="id6">[4]</a> in the string are lowercase and there is at
least one cased character, false otherwise.</p>
<p>For 8-bit strings, this method is locale-dependent.</p>
</dd></dl>

<dl class="method">
<dt id="str.isspace">
<tt class="descclassname">str.</tt><tt class="descname">isspace</tt><big>(</big><big>)</big><a class="headerlink" href="#str.isspace" title="Permalink to this definition">¶</a></dt>
<dd><p>Return true if there are only whitespace characters in the string and there is
at least one character, false otherwise.</p>
<p>For 8-bit strings, this method is locale-dependent.</p>
</dd></dl>

<dl class="method">
<dt id="str.istitle">
<tt class="descclassname">str.</tt><tt class="descname">istitle</tt><big>(</big><big>)</big><a class="headerlink" href="#str.istitle" title="Permalink to this definition">¶</a></dt>
<dd><p>Return true if the string is a titlecased string and there is at least one
character, for example uppercase characters may only follow uncased characters
and lowercase characters only cased ones.  Return false otherwise.</p>
<p>For 8-bit strings, this method is locale-dependent.</p>
</dd></dl>

<dl class="method">
<dt id="str.isupper">
<tt class="descclassname">str.</tt><tt class="descname">isupper</tt><big>(</big><big>)</big><a class="headerlink" href="#str.isupper" title="Permalink to this definition">¶</a></dt>
<dd><p>Return true if all cased characters <a class="footnote-reference" href="#id15" id="id7">[4]</a> in the string are uppercase and there is at
least one cased character, false otherwise.</p>
<p>For 8-bit strings, this method is locale-dependent.</p>
</dd></dl>

<dl class="method">
<dt id="str.join">
<tt class="descclassname">str.</tt><tt class="descname">join</tt><big>(</big><em>iterable</em><big>)</big><a class="headerlink" href="#str.join" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a string which is the concatenation of the strings in the
<a class="reference internal" href="../glossary.html#term-iterable"><em class="xref std std-term">iterable</em></a> <em>iterable</em>.  The separator between elements is the string
providing this method.</p>
</dd></dl>

<dl class="method">
<dt id="str.ljust">
<tt class="descclassname">str.</tt><tt class="descname">ljust</tt><big>(</big><em>width</em><span class="optional">[</span>, <em>fillchar</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.ljust" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the string left justified in a string of length <em>width</em>. Padding is done
using the specified <em>fillchar</em> (default is a space).  The original string is
returned if <em>width</em> is less than or equal to <tt class="docutils literal"><span class="pre">len(s)</span></tt>.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.4: </span>Support for the <em>fillchar</em> argument.</p>
</dd></dl>

<dl class="method">
<dt id="str.lower">
<tt class="descclassname">str.</tt><tt class="descname">lower</tt><big>(</big><big>)</big><a class="headerlink" href="#str.lower" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a copy of the string with all the cased characters <a class="footnote-reference" href="#id15" id="id8">[4]</a> converted to
lowercase.</p>
<p>For 8-bit strings, this method is locale-dependent.</p>
</dd></dl>

<dl class="method">
<dt id="str.lstrip">
<tt class="descclassname">str.</tt><tt class="descname">lstrip</tt><big>(</big><span class="optional">[</span><em>chars</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.lstrip" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a copy of the string with leading characters removed.  The <em>chars</em>
argument is a string specifying the set of characters to be removed.  If omitted
or <tt class="xref docutils literal"><span class="pre">None</span></tt>, the <em>chars</em> argument defaults to removing whitespace.  The <em>chars</em>
argument is not a prefix; rather, all combinations of its values are stripped:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="s">&#39;   spacious   &#39;</span><span class="o">.</span><span class="n">lstrip</span><span class="p">()</span>
<span class="go">&#39;spacious   &#39;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="s">&#39;www.example.com&#39;</span><span class="o">.</span><span class="n">lstrip</span><span class="p">(</span><span class="s">&#39;cmowz.&#39;</span><span class="p">)</span>
<span class="go">&#39;example.com&#39;</span>
</pre></div>
</div>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.2.2: </span>Support for the <em>chars</em> argument.</p>
</dd></dl>

<dl class="method">
<dt id="str.partition">
<tt class="descclassname">str.</tt><tt class="descname">partition</tt><big>(</big><em>sep</em><big>)</big><a class="headerlink" href="#str.partition" title="Permalink to this definition">¶</a></dt>
<dd><p>Split the string at the first occurrence of <em>sep</em>, and return a 3-tuple
containing the part before the separator, the separator itself, and the part
after the separator.  If the separator is not found, return a 3-tuple containing
the string itself, followed by two empty strings.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.5.</span></p>
</dd></dl>

<dl class="method">
<dt id="str.replace">
<tt class="descclassname">str.</tt><tt class="descname">replace</tt><big>(</big><em>old</em>, <em>new</em><span class="optional">[</span>, <em>count</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.replace" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a copy of the string with all occurrences of substring <em>old</em> replaced by
<em>new</em>.  If the optional argument <em>count</em> is given, only the first <em>count</em>
occurrences are replaced.</p>
</dd></dl>

<dl class="method">
<dt id="str.rfind">
<tt class="descclassname">str.</tt><tt class="descname">rfind</tt><big>(</big><em>sub</em><span class="optional">[</span>, <em>start</em><span class="optional">[</span>, <em>end</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.rfind" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the highest index in the string where substring <em>sub</em> is found, such
that <em>sub</em> is contained within <tt class="docutils literal"><span class="pre">s[start:end]</span></tt>.  Optional arguments <em>start</em>
and <em>end</em> are interpreted as in slice notation.  Return <tt class="docutils literal"><span class="pre">-1</span></tt> on failure.</p>
</dd></dl>

<dl class="method">
<dt id="str.rindex">
<tt class="descclassname">str.</tt><tt class="descname">rindex</tt><big>(</big><em>sub</em><span class="optional">[</span>, <em>start</em><span class="optional">[</span>, <em>end</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.rindex" title="Permalink to this definition">¶</a></dt>
<dd><p>Like <a class="reference internal" href="#str.rfind" title="str.rfind"><tt class="xref py py-meth docutils literal"><span class="pre">rfind()</span></tt></a> but raises <a class="reference internal" href="exceptions.html#exceptions.ValueError" title="exceptions.ValueError"><tt class="xref py py-exc docutils literal"><span class="pre">ValueError</span></tt></a> when the substring <em>sub</em> is not
found.</p>
</dd></dl>

<dl class="method">
<dt id="str.rjust">
<tt class="descclassname">str.</tt><tt class="descname">rjust</tt><big>(</big><em>width</em><span class="optional">[</span>, <em>fillchar</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.rjust" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the string right justified in a string of length <em>width</em>. Padding is done
using the specified <em>fillchar</em> (default is a space). The original string is
returned if <em>width</em> is less than or equal to <tt class="docutils literal"><span class="pre">len(s)</span></tt>.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.4: </span>Support for the <em>fillchar</em> argument.</p>
</dd></dl>

<dl class="method">
<dt id="str.rpartition">
<tt class="descclassname">str.</tt><tt class="descname">rpartition</tt><big>(</big><em>sep</em><big>)</big><a class="headerlink" href="#str.rpartition" title="Permalink to this definition">¶</a></dt>
<dd><p>Split the string at the last occurrence of <em>sep</em>, and return a 3-tuple
containing the part before the separator, the separator itself, and the part
after the separator.  If the separator is not found, return a 3-tuple containing
two empty strings, followed by the string itself.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.5.</span></p>
</dd></dl>

<dl class="method">
<dt id="str.rsplit">
<tt class="descclassname">str.</tt><tt class="descname">rsplit</tt><big>(</big><span class="optional">[</span><em>sep</em><span class="optional">[</span>, <em>maxsplit</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.rsplit" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a list of the words in the string, using <em>sep</em> as the delimiter string.
If <em>maxsplit</em> is given, at most <em>maxsplit</em> splits are done, the <em>rightmost</em>
ones.  If <em>sep</em> is not specified or <tt class="xref docutils literal"><span class="pre">None</span></tt>, any whitespace string is a
separator.  Except for splitting from the right, <a class="reference internal" href="#str.rsplit" title="str.rsplit"><tt class="xref py py-meth docutils literal"><span class="pre">rsplit()</span></tt></a> behaves like
<a class="reference internal" href="#str.split" title="str.split"><tt class="xref py py-meth docutils literal"><span class="pre">split()</span></tt></a> which is described in detail below.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.4.</span></p>
</dd></dl>

<dl class="method">
<dt id="str.rstrip">
<tt class="descclassname">str.</tt><tt class="descname">rstrip</tt><big>(</big><span class="optional">[</span><em>chars</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.rstrip" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a copy of the string with trailing characters removed.  The <em>chars</em>
argument is a string specifying the set of characters to be removed.  If omitted
or <tt class="xref docutils literal"><span class="pre">None</span></tt>, the <em>chars</em> argument defaults to removing whitespace.  The <em>chars</em>
argument is not a suffix; rather, all combinations of its values are stripped:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="s">&#39;   spacious   &#39;</span><span class="o">.</span><span class="n">rstrip</span><span class="p">()</span>
<span class="go">&#39;   spacious&#39;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="s">&#39;mississippi&#39;</span><span class="o">.</span><span class="n">rstrip</span><span class="p">(</span><span class="s">&#39;ipz&#39;</span><span class="p">)</span>
<span class="go">&#39;mississ&#39;</span>
</pre></div>
</div>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.2.2: </span>Support for the <em>chars</em> argument.</p>
</dd></dl>

<dl class="method">
<dt id="str.split">
<tt class="descclassname">str.</tt><tt class="descname">split</tt><big>(</big><span class="optional">[</span><em>sep</em><span class="optional">[</span>, <em>maxsplit</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.split" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a list of the words in the string, using <em>sep</em> as the delimiter
string.  If <em>maxsplit</em> is given, at most <em>maxsplit</em> splits are done (thus,
the list will have at most <tt class="docutils literal"><span class="pre">maxsplit+1</span></tt> elements).  If <em>maxsplit</em> is not
specified or <tt class="docutils literal"><span class="pre">-1</span></tt>, then there is no limit on the number of splits
(all possible splits are made).</p>
<p>If <em>sep</em> is given, consecutive delimiters are not grouped together and are
deemed to delimit empty strings (for example, <tt class="docutils literal"><span class="pre">'1,,2'.split(',')</span></tt> returns
<tt class="docutils literal"><span class="pre">['1',</span> <span class="pre">'',</span> <span class="pre">'2']</span></tt>).  The <em>sep</em> argument may consist of multiple characters
(for example, <tt class="docutils literal"><span class="pre">'1&lt;&gt;2&lt;&gt;3'.split('&lt;&gt;')</span></tt> returns <tt class="docutils literal"><span class="pre">['1',</span> <span class="pre">'2',</span> <span class="pre">'3']</span></tt>).
Splitting an empty string with a specified separator returns <tt class="docutils literal"><span class="pre">['']</span></tt>.</p>
<p>If <em>sep</em> is not specified or is <tt class="xref docutils literal"><span class="pre">None</span></tt>, a different splitting algorithm is
applied: runs of consecutive whitespace are regarded as a single separator,
and the result will contain no empty strings at the start or end if the
string has leading or trailing whitespace.  Consequently, splitting an empty
string or a string consisting of just whitespace with a <tt class="xref docutils literal"><span class="pre">None</span></tt> separator
returns <tt class="docutils literal"><span class="pre">[]</span></tt>.</p>
<p>For example, <tt class="docutils literal"><span class="pre">'</span> <span class="pre">1</span>&nbsp; <span class="pre">2</span>&nbsp;&nbsp; <span class="pre">3</span>&nbsp; <span class="pre">'.split()</span></tt> returns <tt class="docutils literal"><span class="pre">['1',</span> <span class="pre">'2',</span> <span class="pre">'3']</span></tt>, and
<tt class="docutils literal"><span class="pre">'</span>&nbsp; <span class="pre">1</span>&nbsp; <span class="pre">2</span>&nbsp;&nbsp; <span class="pre">3</span>&nbsp; <span class="pre">'.split(None,</span> <span class="pre">1)</span></tt> returns <tt class="docutils literal"><span class="pre">['1',</span> <span class="pre">'2</span>&nbsp;&nbsp; <span class="pre">3</span>&nbsp; <span class="pre">']</span></tt>.</p>
</dd></dl>

<span class="target" id="index-24"></span><dl class="method">
<dt id="str.splitlines">
<tt class="descclassname">str.</tt><tt class="descname">splitlines</tt><big>(</big><span class="optional">[</span><em>keepends</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.splitlines" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a list of the lines in the string, breaking at line boundaries.
This method uses the <a class="reference internal" href="../glossary.html#term-universal-newlines"><em class="xref std std-term">universal newlines</em></a> approach to splitting lines.
Line breaks are not included in the resulting list unless <em>keepends</em> is
given and true.</p>
<p>For example, <tt class="docutils literal"><span class="pre">'ab</span> <span class="pre">c\n\nde</span> <span class="pre">fg\rkl\r\n'.splitlines()</span></tt> returns
<tt class="docutils literal"><span class="pre">['ab</span> <span class="pre">c',</span> <span class="pre">'',</span> <span class="pre">'de</span> <span class="pre">fg',</span> <span class="pre">'kl']</span></tt>, while the same call with <tt class="docutils literal"><span class="pre">splitlines(True)</span></tt>
returns <tt class="docutils literal"><span class="pre">['ab</span> <span class="pre">c\n',</span> <span class="pre">'\n',</span> <span class="pre">'de</span> <span class="pre">fg\r',</span> <span class="pre">'kl\r\n']</span></tt>.</p>
<p>Unlike <a class="reference internal" href="#str.split" title="str.split"><tt class="xref py py-meth docutils literal"><span class="pre">split()</span></tt></a> when a delimiter string <em>sep</em> is given, this
method returns an empty list for the empty string, and a terminal line
break does not result in an extra line.</p>
</dd></dl>

<dl class="method">
<dt id="str.startswith">
<tt class="descclassname">str.</tt><tt class="descname">startswith</tt><big>(</big><em>prefix</em><span class="optional">[</span>, <em>start</em><span class="optional">[</span>, <em>end</em><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.startswith" title="Permalink to this definition">¶</a></dt>
<dd><p>Return <tt class="xref docutils literal"><span class="pre">True</span></tt> if string starts with the <em>prefix</em>, otherwise return <tt class="xref docutils literal"><span class="pre">False</span></tt>.
<em>prefix</em> can also be a tuple of prefixes to look for.  With optional <em>start</em>,
test string beginning at that position.  With optional <em>end</em>, stop comparing
string at that position.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.5: </span>Accept tuples as <em>prefix</em>.</p>
</dd></dl>

<dl class="method">
<dt id="str.strip">
<tt class="descclassname">str.</tt><tt class="descname">strip</tt><big>(</big><span class="optional">[</span><em>chars</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.strip" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a copy of the string with the leading and trailing characters removed.
The <em>chars</em> argument is a string specifying the set of characters to be removed.
If omitted or <tt class="xref docutils literal"><span class="pre">None</span></tt>, the <em>chars</em> argument defaults to removing whitespace.
The <em>chars</em> argument is not a prefix or suffix; rather, all combinations of its
values are stripped:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="s">&#39;   spacious   &#39;</span><span class="o">.</span><span class="n">strip</span><span class="p">()</span>
<span class="go">&#39;spacious&#39;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="s">&#39;www.example.com&#39;</span><span class="o">.</span><span class="n">strip</span><span class="p">(</span><span class="s">&#39;cmowz.&#39;</span><span class="p">)</span>
<span class="go">&#39;example&#39;</span>
</pre></div>
</div>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.2.2: </span>Support for the <em>chars</em> argument.</p>
</dd></dl>

<dl class="method">
<dt id="str.swapcase">
<tt class="descclassname">str.</tt><tt class="descname">swapcase</tt><big>(</big><big>)</big><a class="headerlink" href="#str.swapcase" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a copy of the string with uppercase characters converted to lowercase and
vice versa.</p>
<p>For 8-bit strings, this method is locale-dependent.</p>
</dd></dl>

<dl class="method">
<dt id="str.title">
<tt class="descclassname">str.</tt><tt class="descname">title</tt><big>(</big><big>)</big><a class="headerlink" href="#str.title" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a titlecased version of the string where words start with an uppercase
character and the remaining characters are lowercase.</p>
<p>The algorithm uses a simple language-independent definition of a word as
groups of consecutive letters.  The definition works in many contexts but
it means that apostrophes in contractions and possessives form word
boundaries, which may not be the desired result:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="s">&quot;they&#39;re bill&#39;s friends from the UK&quot;</span><span class="o">.</span><span class="n">title</span><span class="p">()</span>
<span class="go">&quot;They&#39;Re Bill&#39;S Friends From The Uk&quot;</span>
</pre></div>
</div>
<p>A workaround for apostrophes can be constructed using regular expressions:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">import</span> <span class="nn">re</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">def</span> <span class="nf">titlecase</span><span class="p">(</span><span class="n">s</span><span class="p">):</span>
<span class="gp">... </span>    <span class="k">return</span> <span class="n">re</span><span class="o">.</span><span class="n">sub</span><span class="p">(</span><span class="s">r&quot;[A-Za-z]+(&#39;[A-Za-z]+)?&quot;</span><span class="p">,</span>
<span class="gp">... </span>                  <span class="k">lambda</span> <span class="n">mo</span><span class="p">:</span> <span class="n">mo</span><span class="o">.</span><span class="n">group</span><span class="p">(</span><span class="mi">0</span><span class="p">)[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">upper</span><span class="p">()</span> <span class="o">+</span>
<span class="gp">... </span>                             <span class="n">mo</span><span class="o">.</span><span class="n">group</span><span class="p">(</span><span class="mi">0</span><span class="p">)[</span><span class="mi">1</span><span class="p">:]</span><span class="o">.</span><span class="n">lower</span><span class="p">(),</span>
<span class="gp">... </span>                  <span class="n">s</span><span class="p">)</span>
<span class="gp">...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">titlecase</span><span class="p">(</span><span class="s">&quot;they&#39;re bill&#39;s friends.&quot;</span><span class="p">)</span>
<span class="go">&quot;They&#39;re Bill&#39;s Friends.&quot;</span>
</pre></div>
</div>
<p>For 8-bit strings, this method is locale-dependent.</p>
</dd></dl>

<dl class="method">
<dt id="str.translate">
<tt class="descclassname">str.</tt><tt class="descname">translate</tt><big>(</big><em>table</em><span class="optional">[</span>, <em>deletechars</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#str.translate" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a copy of the string where all characters occurring in the optional
argument <em>deletechars</em> are removed, and the remaining characters have been
mapped through the given translation table, which must be a string of length
256.</p>
<p>You can use the <a class="reference internal" href="string.html#string.maketrans" title="string.maketrans"><tt class="xref py py-func docutils literal"><span class="pre">maketrans()</span></tt></a> helper function in the <a class="reference internal" href="string.html#module-string" title="string: Common string operations."><tt class="xref py py-mod docutils literal"><span class="pre">string</span></tt></a>
module to create a translation table. For string objects, set the <em>table</em>
argument to <tt class="xref docutils literal"><span class="pre">None</span></tt> for translations that only delete characters:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="s">&#39;read this short text&#39;</span><span class="o">.</span><span class="n">translate</span><span class="p">(</span><span class="bp">None</span><span class="p">,</span> <span class="s">&#39;aeiou&#39;</span><span class="p">)</span>
<span class="go">&#39;rd ths shrt txt&#39;</span>
</pre></div>
</div>
<p class="versionadded">
<span class="versionmodified">New in version 2.6: </span>Support for a <tt class="xref docutils literal"><span class="pre">None</span></tt> <em>table</em> argument.</p>
<p>For Unicode objects, the <a class="reference internal" href="#str.translate" title="str.translate"><tt class="xref py py-meth docutils literal"><span class="pre">translate()</span></tt></a> method does not accept the optional
<em>deletechars</em> argument.  Instead, it returns a copy of the <em>s</em> where all
characters have been mapped through the given translation table which must be a
mapping of Unicode ordinals to Unicode ordinals, Unicode strings or <tt class="xref docutils literal"><span class="pre">None</span></tt>.
Unmapped characters are left untouched. Characters mapped to <tt class="xref docutils literal"><span class="pre">None</span></tt> are
deleted.  Note, a more flexible approach is to create a custom character mapping
codec using the <a class="reference internal" href="codecs.html#module-codecs" title="codecs: Encode and decode data and streams."><tt class="xref py py-mod docutils literal"><span class="pre">codecs</span></tt></a> module (see <tt class="xref py py-mod docutils literal"><span class="pre">encodings.cp1251</span></tt> for an
example).</p>
</dd></dl>

<dl class="method">
<dt id="str.upper">
<tt class="descclassname">str.</tt><tt class="descname">upper</tt><big>(</big><big>)</big><a class="headerlink" href="#str.upper" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a copy of the string with all the cased characters <a class="footnote-reference" href="#id15" id="id9">[4]</a> converted to
uppercase.  Note that <tt class="docutils literal"><span class="pre">str.upper().isupper()</span></tt> might be <tt class="xref docutils literal"><span class="pre">False</span></tt> if <tt class="docutils literal"><span class="pre">s</span></tt>
contains uncased characters or if the Unicode category of the resulting
character(s) is not &#8220;Lu&#8221; (Letter, uppercase), but e.g. &#8220;Lt&#8221; (Letter, titlecase).</p>
<p>For 8-bit strings, this method is locale-dependent.</p>
</dd></dl>

<dl class="method">
<dt id="str.zfill">
<tt class="descclassname">str.</tt><tt class="descname">zfill</tt><big>(</big><em>width</em><big>)</big><a class="headerlink" href="#str.zfill" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the numeric string left filled with zeros in a string of length
<em>width</em>.  A sign prefix is handled correctly.  The original string is
returned if <em>width</em> is less than or equal to <tt class="docutils literal"><span class="pre">len(s)</span></tt>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.2.</span></p>
</dd></dl>

<p>The following methods are present only on unicode objects:</p>
<dl class="method">
<dt id="unicode.isnumeric">
<tt class="descclassname">unicode.</tt><tt class="descname">isnumeric</tt><big>(</big><big>)</big><a class="headerlink" href="#unicode.isnumeric" title="Permalink to this definition">¶</a></dt>
<dd><p>Return <tt class="xref docutils literal"><span class="pre">True</span></tt> if there are only numeric characters in S, <tt class="xref docutils literal"><span class="pre">False</span></tt>
otherwise. Numeric characters include digit characters, and all characters
that have the Unicode numeric value property, e.g. U+2155,
VULGAR FRACTION ONE FIFTH.</p>
</dd></dl>

<dl class="method">
<dt id="unicode.isdecimal">
<tt class="descclassname">unicode.</tt><tt class="descname">isdecimal</tt><big>(</big><big>)</big><a class="headerlink" href="#unicode.isdecimal" title="Permalink to this definition">¶</a></dt>
<dd><p>Return <tt class="xref docutils literal"><span class="pre">True</span></tt> if there are only decimal characters in S, <tt class="xref docutils literal"><span class="pre">False</span></tt>
otherwise. Decimal characters include digit characters, and all characters
that can be used to form decimal-radix numbers, e.g. U+0660,
ARABIC-INDIC DIGIT ZERO.</p>
</dd></dl>

</div>
<div class="section" id="string-formatting-operations">
<span id="string-formatting"></span><h3>5.6.2. String Formatting Operations<a class="headerlink" href="#string-formatting-operations" title="Permalink to this headline">¶</a></h3>
<p id="index-25">String and Unicode objects have one unique built-in operation: the <tt class="docutils literal"><span class="pre">%</span></tt>
operator (modulo).  This is also known as the string <em>formatting</em> or
<em>interpolation</em> operator.  Given <tt class="docutils literal"><span class="pre">format</span> <span class="pre">%</span> <span class="pre">values</span></tt> (where <em>format</em> is a string
or Unicode object), <tt class="docutils literal"><span class="pre">%</span></tt> conversion specifications in <em>format</em> are replaced
with zero or more elements of <em>values</em>.  The effect is similar to the using
<tt class="xref c c-func docutils literal"><span class="pre">sprintf()</span></tt> in the C language.  If <em>format</em> is a Unicode object, or if any
of the objects being converted using the <tt class="docutils literal"><span class="pre">%s</span></tt> conversion are Unicode objects,
the result will also be a Unicode object.</p>
<p>If <em>format</em> requires a single argument, <em>values</em> may be a single non-tuple
object. <a class="footnote-reference" href="#id16" id="id10">[5]</a>  Otherwise, <em>values</em> must be a tuple with exactly the number of
items specified by the format string, or a single mapping object (for example, a
dictionary).</p>
<p>A conversion specifier contains two or more characters and has the following
components, which must occur in this order:</p>
<ol class="arabic simple">
<li>The <tt class="docutils literal"><span class="pre">'%'</span></tt> character, which marks the start of the specifier.</li>
<li>Mapping key (optional), consisting of a parenthesised sequence of characters
(for example, <tt class="docutils literal"><span class="pre">(somename)</span></tt>).</li>
<li>Conversion flags (optional), which affect the result of some conversion
types.</li>
<li>Minimum field width (optional).  If specified as an <tt class="docutils literal"><span class="pre">'*'</span></tt> (asterisk), the
actual width is read from the next element of the tuple in <em>values</em>, and the
object to convert comes after the minimum field width and optional precision.</li>
<li>Precision (optional), given as a <tt class="docutils literal"><span class="pre">'.'</span></tt> (dot) followed by the precision.  If
specified as <tt class="docutils literal"><span class="pre">'*'</span></tt> (an asterisk), the actual width is read from the next
element of the tuple in <em>values</em>, and the value to convert comes after the
precision.</li>
<li>Length modifier (optional).</li>
<li>Conversion type.</li>
</ol>
<p>When the right argument is a dictionary (or other mapping type), then the
formats in the string <em>must</em> include a parenthesised mapping key into that
dictionary inserted immediately after the <tt class="docutils literal"><span class="pre">'%'</span></tt> character. The mapping key
selects the value to be formatted from the mapping.  For example:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="k">print</span> <span class="s">&#39;</span><span class="si">%(language)s</span><span class="s"> has </span><span class="si">%(number)03d</span><span class="s"> quote types.&#39;</span> <span class="o">%</span> \
<span class="gp">... </span>      <span class="p">{</span><span class="s">&quot;language&quot;</span><span class="p">:</span> <span class="s">&quot;Python&quot;</span><span class="p">,</span> <span class="s">&quot;number&quot;</span><span class="p">:</span> <span class="mi">2</span><span class="p">}</span>
<span class="go">Python has 002 quote types.</span>
</pre></div>
</div>
<p>In this case no <tt class="docutils literal"><span class="pre">*</span></tt> specifiers may occur in a format (since they require a
sequential parameter list).</p>
<p>The conversion flag characters are:</p>
<table border="1" class="docutils">
<colgroup>
<col width="12%" />
<col width="88%" />
</colgroup>
<thead valign="bottom">
<tr><th class="head">Flag</th>
<th class="head">Meaning</th>
</tr>
</thead>
<tbody valign="top">
<tr><td><tt class="docutils literal"><span class="pre">'#'</span></tt></td>
<td>The value conversion will use the &#8220;alternate form&#8221; (where defined
below).</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'0'</span></tt></td>
<td>The conversion will be zero padded for numeric values.</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'-'</span></tt></td>
<td>The converted value is left adjusted (overrides the <tt class="docutils literal"><span class="pre">'0'</span></tt>
conversion if both are given).</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'</span> <span class="pre">'</span></tt></td>
<td>(a space) A blank should be left before a positive number (or empty
string) produced by a signed conversion.</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'+'</span></tt></td>
<td>A sign character (<tt class="docutils literal"><span class="pre">'+'</span></tt> or <tt class="docutils literal"><span class="pre">'-'</span></tt>) will precede the conversion
(overrides a &#8220;space&#8221; flag).</td>
</tr>
</tbody>
</table>
<p>A length modifier (<tt class="docutils literal"><span class="pre">h</span></tt>, <tt class="docutils literal"><span class="pre">l</span></tt>, or <tt class="docutils literal"><span class="pre">L</span></tt>) may be present, but is ignored as it
is not necessary for Python &#8211; so e.g. <tt class="docutils literal"><span class="pre">%ld</span></tt> is identical to <tt class="docutils literal"><span class="pre">%d</span></tt>.</p>
<p>The conversion types are:</p>
<table border="1" class="docutils">
<colgroup>
<col width="17%" />
<col width="74%" />
<col width="10%" />
</colgroup>
<thead valign="bottom">
<tr><th class="head">Conversion</th>
<th class="head">Meaning</th>
<th class="head">Notes</th>
</tr>
</thead>
<tbody valign="top">
<tr><td><tt class="docutils literal"><span class="pre">'d'</span></tt></td>
<td>Signed integer decimal.</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'i'</span></tt></td>
<td>Signed integer decimal.</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'o'</span></tt></td>
<td>Signed octal value.</td>
<td>(1)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'u'</span></tt></td>
<td>Obsolete type &#8211; it is identical to <tt class="docutils literal"><span class="pre">'d'</span></tt>.</td>
<td>(7)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'x'</span></tt></td>
<td>Signed hexadecimal (lowercase).</td>
<td>(2)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'X'</span></tt></td>
<td>Signed hexadecimal (uppercase).</td>
<td>(2)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'e'</span></tt></td>
<td>Floating point exponential format (lowercase).</td>
<td>(3)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'E'</span></tt></td>
<td>Floating point exponential format (uppercase).</td>
<td>(3)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'f'</span></tt></td>
<td>Floating point decimal format.</td>
<td>(3)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'F'</span></tt></td>
<td>Floating point decimal format.</td>
<td>(3)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'g'</span></tt></td>
<td>Floating point format. Uses lowercase exponential
format if exponent is less than -4 or not less than
precision, decimal format otherwise.</td>
<td>(4)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'G'</span></tt></td>
<td>Floating point format. Uses uppercase exponential
format if exponent is less than -4 or not less than
precision, decimal format otherwise.</td>
<td>(4)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'c'</span></tt></td>
<td>Single character (accepts integer or single
character string).</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'r'</span></tt></td>
<td>String (converts any Python object using
<a class="reference internal" href="functions.html#func-repr"><em>repr()</em></a>).</td>
<td>(5)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'s'</span></tt></td>
<td>String (converts any Python object using
<a class="reference internal" href="functions.html#str" title="str"><tt class="xref py py-func docutils literal"><span class="pre">str()</span></tt></a>).</td>
<td>(6)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">'%'</span></tt></td>
<td>No argument is converted, results in a <tt class="docutils literal"><span class="pre">'%'</span></tt>
character in the result.</td>
<td>&nbsp;</td>
</tr>
</tbody>
</table>
<p>Notes:</p>
<ol class="arabic">
<li><p class="first">The alternate form causes a leading zero (<tt class="docutils literal"><span class="pre">'0'</span></tt>) to be inserted between
left-hand padding and the formatting of the number if the leading character
of the result is not already a zero.</p>
</li>
<li><p class="first">The alternate form causes a leading <tt class="docutils literal"><span class="pre">'0x'</span></tt> or <tt class="docutils literal"><span class="pre">'0X'</span></tt> (depending on whether
the <tt class="docutils literal"><span class="pre">'x'</span></tt> or <tt class="docutils literal"><span class="pre">'X'</span></tt> format was used) to be inserted between left-hand padding
and the formatting of the number if the leading character of the result is not
already a zero.</p>
</li>
<li><p class="first">The alternate form causes the result to always contain a decimal point, even if
no digits follow it.</p>
<p>The precision determines the number of digits after the decimal point and
defaults to 6.</p>
</li>
<li><p class="first">The alternate form causes the result to always contain a decimal point, and
trailing zeroes are not removed as they would otherwise be.</p>
<p>The precision determines the number of significant digits before and after the
decimal point and defaults to 6.</p>
</li>
<li><p class="first">The <tt class="docutils literal"><span class="pre">%r</span></tt> conversion was added in Python 2.0.</p>
<p>The precision determines the maximal number of characters used.</p>
</li>
<li><p class="first">If the object or format provided is a <a class="reference internal" href="functions.html#unicode" title="unicode"><tt class="xref py py-class docutils literal"><span class="pre">unicode</span></tt></a> string, the resulting
string will also be <a class="reference internal" href="functions.html#unicode" title="unicode"><tt class="xref py py-class docutils literal"><span class="pre">unicode</span></tt></a>.</p>
<p>The precision determines the maximal number of characters used.</p>
</li>
<li><p class="first">See <span class="target" id="index-26"></span><a class="pep reference external" href="http://www.python.org/dev/peps/pep-0237"><strong>PEP 237</strong></a>.</p>
</li>
</ol>
<p>Since Python strings have an explicit length, <tt class="docutils literal"><span class="pre">%s</span></tt> conversions do not assume
that <tt class="docutils literal"><span class="pre">'\0'</span></tt> is the end of the string.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.7: </span><tt class="docutils literal"><span class="pre">%f</span></tt> conversions for numbers whose absolute value is over 1e50 are no
longer replaced by <tt class="docutils literal"><span class="pre">%g</span></tt> conversions.</p>
<p id="index-27">Additional string operations are defined in standard modules <a class="reference internal" href="string.html#module-string" title="string: Common string operations."><tt class="xref py py-mod docutils literal"><span class="pre">string</span></tt></a> and
<a class="reference internal" href="re.html#module-re" title="re: Regular expression operations."><tt class="xref py py-mod docutils literal"><span class="pre">re</span></tt></a>.</p>
</div>
<div class="section" id="xrange-type">
<span id="typesseq-xrange"></span><h3>5.6.3. XRange Type<a class="headerlink" href="#xrange-type" title="Permalink to this headline">¶</a></h3>
<p id="index-28">The <a class="reference internal" href="functions.html#xrange" title="xrange"><tt class="xref py py-class docutils literal"><span class="pre">xrange</span></tt></a> type is an immutable sequence which is commonly used for
looping.  The advantage of the <a class="reference internal" href="functions.html#xrange" title="xrange"><tt class="xref py py-class docutils literal"><span class="pre">xrange</span></tt></a> type is that an <a class="reference internal" href="functions.html#xrange" title="xrange"><tt class="xref py py-class docutils literal"><span class="pre">xrange</span></tt></a>
object will always take the same amount of memory, no matter the size of the
range it represents.  There are no consistent performance advantages.</p>
<p>XRange objects have very little behavior: they only support indexing, iteration,
and the <a class="reference internal" href="functions.html#len" title="len"><tt class="xref py py-func docutils literal"><span class="pre">len()</span></tt></a> function.</p>
</div>
<div class="section" id="mutable-sequence-types">
<span id="typesseq-mutable"></span><h3>5.6.4. Mutable Sequence Types<a class="headerlink" href="#mutable-sequence-types" title="Permalink to this headline">¶</a></h3>
<p id="index-29">List and <a class="reference internal" href="functions.html#bytearray" title="bytearray"><tt class="xref py py-class docutils literal"><span class="pre">bytearray</span></tt></a> objects support additional operations that allow
in-place modification of the object. Other mutable sequence types (when added
to the language) should also support these operations. Strings and tuples
are immutable sequence types: such objects cannot be modified once created.
The following operations are defined on mutable sequence types (where <em>x</em> is
an arbitrary object):</p>
<table border="1" class="docutils" id="index-30">
<colgroup>
<col width="36%" />
<col width="39%" />
<col width="25%" />
</colgroup>
<thead valign="bottom">
<tr><th class="head">Operation</th>
<th class="head">Result</th>
<th class="head">Notes</th>
</tr>
</thead>
<tbody valign="top">
<tr><td><tt class="docutils literal"><span class="pre">s[i]</span> <span class="pre">=</span> <span class="pre">x</span></tt></td>
<td>item <em>i</em> of <em>s</em> is replaced by
<em>x</em></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s[i:j]</span> <span class="pre">=</span> <span class="pre">t</span></tt></td>
<td>slice of <em>s</em> from <em>i</em> to <em>j</em>
is replaced by the contents of
the iterable <em>t</em></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">del</span> <span class="pre">s[i:j]</span></tt></td>
<td>same as <tt class="docutils literal"><span class="pre">s[i:j]</span> <span class="pre">=</span> <span class="pre">[]</span></tt></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s[i:j:k]</span> <span class="pre">=</span> <span class="pre">t</span></tt></td>
<td>the elements of <tt class="docutils literal"><span class="pre">s[i:j:k]</span></tt>
are replaced by those of <em>t</em></td>
<td>(1)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">del</span> <span class="pre">s[i:j:k]</span></tt></td>
<td>removes the elements of
<tt class="docutils literal"><span class="pre">s[i:j:k]</span></tt> from the list</td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s.append(x)</span></tt></td>
<td>same as <tt class="docutils literal"><span class="pre">s[len(s):len(s)]</span> <span class="pre">=</span>
<span class="pre">[x]</span></tt></td>
<td>(2)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s.extend(x)</span></tt></td>
<td>same as <tt class="docutils literal"><span class="pre">s[len(s):len(s)]</span> <span class="pre">=</span>
<span class="pre">x</span></tt></td>
<td>(3)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s.count(x)</span></tt></td>
<td>return number of <em>i</em>&#8216;s for
which <tt class="docutils literal"><span class="pre">s[i]</span> <span class="pre">==</span> <span class="pre">x</span></tt></td>
<td>&nbsp;</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s.index(x[,</span> <span class="pre">i[,</span> <span class="pre">j]])</span></tt></td>
<td>return smallest <em>k</em> such that
<tt class="docutils literal"><span class="pre">s[k]</span> <span class="pre">==</span> <span class="pre">x</span></tt> and <tt class="docutils literal"><span class="pre">i</span> <span class="pre">&lt;=</span> <span class="pre">k</span> <span class="pre">&lt;</span>
<span class="pre">j</span></tt></td>
<td>(4)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s.insert(i,</span> <span class="pre">x)</span></tt></td>
<td>same as <tt class="docutils literal"><span class="pre">s[i:i]</span> <span class="pre">=</span> <span class="pre">[x]</span></tt></td>
<td>(5)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s.pop([i])</span></tt></td>
<td>same as <tt class="docutils literal"><span class="pre">x</span> <span class="pre">=</span> <span class="pre">s[i];</span> <span class="pre">del</span> <span class="pre">s[i];</span>
<span class="pre">return</span> <span class="pre">x</span></tt></td>
<td>(6)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s.remove(x)</span></tt></td>
<td>same as <tt class="docutils literal"><span class="pre">del</span> <span class="pre">s[s.index(x)]</span></tt></td>
<td>(4)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s.reverse()</span></tt></td>
<td>reverses the items of <em>s</em> in
place</td>
<td>(7)</td>
</tr>
<tr><td><tt class="docutils literal"><span class="pre">s.sort([cmp[,</span> <span class="pre">key[,</span>
<span class="pre">reverse]]])</span></tt></td>
<td>sort the items of <em>s</em> in place</td>
<td>(7)(8)(9)(10)</td>
</tr>
</tbody>
</table>
<p>Notes:</p>
<ol class="arabic">
<li><p class="first"><em>t</em> must have the same length as the slice it is  replacing.</p>
</li>
<li><p class="first">The C implementation of Python has historically accepted multiple parameters and
implicitly joined them into a tuple; this no longer works in Python 2.0.  Use of
this misfeature has been deprecated since Python 1.4.</p>
</li>
<li><p class="first"><em>x</em> can be any iterable object.</p>
</li>
<li><p class="first">Raises <a class="reference internal" href="exceptions.html#exceptions.ValueError" title="exceptions.ValueError"><tt class="xref py py-exc docutils literal"><span class="pre">ValueError</span></tt></a> when <em>x</em> is not found in <em>s</em>. When a negative index is
passed as the second or third parameter to the <tt class="xref py py-meth docutils literal"><span class="pre">index()</span></tt> method, the list
length is added, as for slice indices.  If it is still negative, it is truncated
to zero, as for slice indices.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.3: </span>Previously, <tt class="xref py py-meth docutils literal"><span class="pre">index()</span></tt> didn&#8217;t have arguments for specifying start and stop
positions.</p>
</li>
<li><p class="first">When a negative index is passed as the first parameter to the <tt class="xref py py-meth docutils literal"><span class="pre">insert()</span></tt>
method, the list length is added, as for slice indices.  If it is still
negative, it is truncated to zero, as for slice indices.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.3: </span>Previously, all negative indices were truncated to zero.</p>
</li>
<li><p class="first">The <tt class="xref py py-meth docutils literal"><span class="pre">pop()</span></tt> method&#8217;s optional argument <em>i</em> defaults to <tt class="docutils literal"><span class="pre">-1</span></tt>, so that
by default the last item is removed and returned.</p>
</li>
<li><p class="first">The <tt class="xref py py-meth docutils literal"><span class="pre">sort()</span></tt> and <tt class="xref py py-meth docutils literal"><span class="pre">reverse()</span></tt> methods modify the list in place for
economy of space when sorting or reversing a large list.  To remind you that
they operate by side effect, they don&#8217;t return the sorted or reversed list.</p>
</li>
<li><p class="first">The <tt class="xref py py-meth docutils literal"><span class="pre">sort()</span></tt> method takes optional arguments for controlling the
comparisons.</p>
<p><em>cmp</em> specifies a custom comparison function of two arguments (list items) which
should return a negative, zero or positive number depending on whether the first
argument is considered smaller than, equal to, or larger than the second
argument: <tt class="docutils literal"><span class="pre">cmp=lambda</span> <span class="pre">x,y:</span> <span class="pre">cmp(x.lower(),</span> <span class="pre">y.lower())</span></tt>.  The default value
is <tt class="xref docutils literal"><span class="pre">None</span></tt>.</p>
<p><em>key</em> specifies a function of one argument that is used to extract a comparison
key from each list element: <tt class="docutils literal"><span class="pre">key=str.lower</span></tt>.  The default value is <tt class="xref docutils literal"><span class="pre">None</span></tt>.</p>
<p><em>reverse</em> is a boolean value.  If set to <tt class="xref docutils literal"><span class="pre">True</span></tt>, then the list elements are
sorted as if each comparison were reversed.</p>
<p>In general, the <em>key</em> and <em>reverse</em> conversion processes are much faster than
specifying an equivalent <em>cmp</em> function.  This is because <em>cmp</em> is called
multiple times for each list element while <em>key</em> and <em>reverse</em> touch each
element only once.  Use <a class="reference internal" href="functools.html#functools.cmp_to_key" title="functools.cmp_to_key"><tt class="xref py py-func docutils literal"><span class="pre">functools.cmp_to_key()</span></tt></a> to convert an
old-style <em>cmp</em> function to a <em>key</em> function.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.3: </span>Support for <tt class="xref docutils literal"><span class="pre">None</span></tt> as an equivalent to omitting <em>cmp</em> was added.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.4: </span>Support for <em>key</em> and <em>reverse</em> was added.</p>
</li>
<li><p class="first">Starting with Python 2.3, the <tt class="xref py py-meth docutils literal"><span class="pre">sort()</span></tt> method is guaranteed to be stable.  A
sort is stable if it guarantees not to change the relative order of elements
that compare equal &#8212; this is helpful for sorting in multiple passes (for
example, sort by department, then by salary grade).</p>
</li>
<li><div class="impl-detail first compound">
<p><strong>CPython implementation detail:</strong> While a list is being sorted, the effect of attempting to mutate, or even
inspect, the list is undefined.  The C implementation of Python 2.3 and
newer makes the list appear empty for the duration, and raises
<a class="reference internal" href="exceptions.html#exceptions.ValueError" title="exceptions.ValueError"><tt class="xref py py-exc docutils literal"><span class="pre">ValueError</span></tt></a> if it can detect that the list has been mutated during a
sort.</p>
</div>
</li>
</ol>
</div>
</div>
<div class="section" id="set-types-set-frozenset">
<span id="types-set"></span><h2>5.7. Set Types &#8212; <a class="reference internal" href="#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a>, <a class="reference internal" href="#frozenset" title="frozenset"><tt class="xref py py-class docutils literal"><span class="pre">frozenset</span></tt></a><a class="headerlink" href="#set-types-set-frozenset" title="Permalink to this headline">¶</a></h2>
<p id="index-31">A <em class="dfn">set</em> object is an unordered collection of distinct <a class="reference internal" href="../glossary.html#term-hashable"><em class="xref std std-term">hashable</em></a> objects.
Common uses include membership testing, removing duplicates from a sequence, and
computing mathematical operations such as intersection, union, difference, and
symmetric difference.
(For other containers see the built in <a class="reference internal" href="#dict" title="dict"><tt class="xref py py-class docutils literal"><span class="pre">dict</span></tt></a>, <a class="reference internal" href="functions.html#list" title="list"><tt class="xref py py-class docutils literal"><span class="pre">list</span></tt></a>,
and <a class="reference internal" href="functions.html#tuple" title="tuple"><tt class="xref py py-class docutils literal"><span class="pre">tuple</span></tt></a> classes, and the <a class="reference internal" href="collections.html#module-collections" title="collections: High-performance datatypes"><tt class="xref py py-mod docutils literal"><span class="pre">collections</span></tt></a> module.)</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.4.</span></p>
<p>Like other collections, sets support <tt class="docutils literal"><span class="pre">x</span> <span class="pre">in</span> <span class="pre">set</span></tt>, <tt class="docutils literal"><span class="pre">len(set)</span></tt>, and <tt class="docutils literal"><span class="pre">for</span> <span class="pre">x</span> <span class="pre">in</span>
<span class="pre">set</span></tt>.  Being an unordered collection, sets do not record element position or
order of insertion.  Accordingly, sets do not support indexing, slicing, or
other sequence-like behavior.</p>
<p>There are currently two built-in set types, <a class="reference internal" href="#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a> and <a class="reference internal" href="#frozenset" title="frozenset"><tt class="xref py py-class docutils literal"><span class="pre">frozenset</span></tt></a>.
The <a class="reference internal" href="#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a> type is mutable &#8212; the contents can be changed using methods
like <a class="reference internal" href="#set.add" title="set.add"><tt class="xref py py-meth docutils literal"><span class="pre">add()</span></tt></a> and <a class="reference internal" href="#set.remove" title="set.remove"><tt class="xref py py-meth docutils literal"><span class="pre">remove()</span></tt></a>.  Since it is mutable, it has no
hash value and cannot be used as either a dictionary key or as an element of
another set.  The <a class="reference internal" href="#frozenset" title="frozenset"><tt class="xref py py-class docutils literal"><span class="pre">frozenset</span></tt></a> type is immutable and <a class="reference internal" href="../glossary.html#term-hashable"><em class="xref std std-term">hashable</em></a> &#8212;
its contents cannot be altered after it is created; it can therefore be used as
a dictionary key or as an element of another set.</p>
<p>As of Python 2.7, non-empty sets (not frozensets) can be created by placing a
comma-separated list of elements within braces, for example: <tt class="docutils literal"><span class="pre">{'jack',</span>
<span class="pre">'sjoerd'}</span></tt>, in addition to the <a class="reference internal" href="#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a> constructor.</p>
<p>The constructors for both classes work the same:</p>
<dl class="class">
<dt id="set">
<em class="property">class </em><tt class="descname">set</tt><big>(</big><span class="optional">[</span><em>iterable</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#set" title="Permalink to this definition">¶</a></dt>
<dt id="frozenset">
<em class="property">class </em><tt class="descname">frozenset</tt><big>(</big><span class="optional">[</span><em>iterable</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#frozenset" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a new set or frozenset object whose elements are taken from
<em>iterable</em>.  The elements of a set must be <a class="reference internal" href="../glossary.html#term-hashable"><em class="xref std std-term">hashable</em></a>.  To
represent sets of sets, the inner sets must be <a class="reference internal" href="#frozenset" title="frozenset"><tt class="xref py py-class docutils literal"><span class="pre">frozenset</span></tt></a>
objects.  If <em>iterable</em> is not specified, a new empty set is
returned.</p>
<p>Instances of <a class="reference internal" href="#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a> and <a class="reference internal" href="#frozenset" title="frozenset"><tt class="xref py py-class docutils literal"><span class="pre">frozenset</span></tt></a> provide the following
operations:</p>
<dl class="describe">
<dt>
<tt class="descname">len(s)</tt></dt>
<dd><p>Return the cardinality of set <em>s</em>.</p>
</dd></dl>

<dl class="describe">
<dt>
<tt class="descname">x in s</tt></dt>
<dd><p>Test <em>x</em> for membership in <em>s</em>.</p>
</dd></dl>

<dl class="describe">
<dt>
<tt class="descname">x not in s</tt></dt>
<dd><p>Test <em>x</em> for non-membership in <em>s</em>.</p>
</dd></dl>

<dl class="method">
<dt id="set.isdisjoint">
<tt class="descname">isdisjoint</tt><big>(</big><em>other</em><big>)</big><a class="headerlink" href="#set.isdisjoint" title="Permalink to this definition">¶</a></dt>
<dd><p>Return <tt class="xref docutils literal"><span class="pre">True</span></tt> if the set has no elements in common with <em>other</em>.  Sets are
disjoint if and only if their intersection is the empty set.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.6.</span></p>
</dd></dl>

<dl class="method">
<dt id="set.issubset">
<tt class="descname">issubset</tt><big>(</big><em>other</em><big>)</big><a class="headerlink" href="#set.issubset" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">set &lt;= other</tt></dt>
<dd><p>Test whether every element in the set is in <em>other</em>.</p>
</dd></dl>

<dl class="method">
<dt>
<tt class="descname">set &lt; other</tt></dt>
<dd><p>Test whether the set is a proper subset of <em>other</em>, that is,
<tt class="docutils literal"><span class="pre">set</span> <span class="pre">&lt;=</span> <span class="pre">other</span> <span class="pre">and</span> <span class="pre">set</span> <span class="pre">!=</span> <span class="pre">other</span></tt>.</p>
</dd></dl>

<dl class="method">
<dt id="set.issuperset">
<tt class="descname">issuperset</tt><big>(</big><em>other</em><big>)</big><a class="headerlink" href="#set.issuperset" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">set &gt;= other</tt></dt>
<dd><p>Test whether every element in <em>other</em> is in the set.</p>
</dd></dl>

<dl class="method">
<dt>
<tt class="descname">set &gt; other</tt></dt>
<dd><p>Test whether the set is a proper superset of <em>other</em>, that is, <tt class="docutils literal"><span class="pre">set</span> <span class="pre">&gt;=</span>
<span class="pre">other</span> <span class="pre">and</span> <span class="pre">set</span> <span class="pre">!=</span> <span class="pre">other</span></tt>.</p>
</dd></dl>

<dl class="method">
<dt id="set.union">
<tt class="descname">union</tt><big>(</big><em>other</em>, <em>...</em><big>)</big><a class="headerlink" href="#set.union" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">set | other | ...</tt></dt>
<dd><p>Return a new set with elements from the set and all others.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.6: </span>Accepts multiple input iterables.</p>
</dd></dl>

<dl class="method">
<dt id="set.intersection">
<tt class="descname">intersection</tt><big>(</big><em>other</em>, <em>...</em><big>)</big><a class="headerlink" href="#set.intersection" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">set &amp; other &amp; ...</tt></dt>
<dd><p>Return a new set with elements common to the set and all others.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.6: </span>Accepts multiple input iterables.</p>
</dd></dl>

<dl class="method">
<dt id="set.difference">
<tt class="descname">difference</tt><big>(</big><em>other</em>, <em>...</em><big>)</big><a class="headerlink" href="#set.difference" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">set - other - ...</tt></dt>
<dd><p>Return a new set with elements in the set that are not in the others.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.6: </span>Accepts multiple input iterables.</p>
</dd></dl>

<dl class="method">
<dt id="set.symmetric_difference">
<tt class="descname">symmetric_difference</tt><big>(</big><em>other</em><big>)</big><a class="headerlink" href="#set.symmetric_difference" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">set ^ other</tt></dt>
<dd><p>Return a new set with elements in either the set or <em>other</em> but not both.</p>
</dd></dl>

<dl class="method">
<dt id="set.copy">
<tt class="descname">copy</tt><big>(</big><big>)</big><a class="headerlink" href="#set.copy" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a new set with a shallow copy of <em>s</em>.</p>
</dd></dl>

<p>Note, the non-operator versions of <a class="reference internal" href="#set.union" title="set.union"><tt class="xref py py-meth docutils literal"><span class="pre">union()</span></tt></a>, <a class="reference internal" href="#set.intersection" title="set.intersection"><tt class="xref py py-meth docutils literal"><span class="pre">intersection()</span></tt></a>,
<a class="reference internal" href="#set.difference" title="set.difference"><tt class="xref py py-meth docutils literal"><span class="pre">difference()</span></tt></a>, and <a class="reference internal" href="#set.symmetric_difference" title="set.symmetric_difference"><tt class="xref py py-meth docutils literal"><span class="pre">symmetric_difference()</span></tt></a>, <a class="reference internal" href="#set.issubset" title="set.issubset"><tt class="xref py py-meth docutils literal"><span class="pre">issubset()</span></tt></a>, and
<a class="reference internal" href="#set.issuperset" title="set.issuperset"><tt class="xref py py-meth docutils literal"><span class="pre">issuperset()</span></tt></a> methods will accept any iterable as an argument.  In
contrast, their operator based counterparts require their arguments to be
sets.  This precludes error-prone constructions like <tt class="docutils literal"><span class="pre">set('abc')</span> <span class="pre">&amp;</span> <span class="pre">'cbs'</span></tt>
in favor of the more readable <tt class="docutils literal"><span class="pre">set('abc').intersection('cbs')</span></tt>.</p>
<p>Both <a class="reference internal" href="#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a> and <a class="reference internal" href="#frozenset" title="frozenset"><tt class="xref py py-class docutils literal"><span class="pre">frozenset</span></tt></a> support set to set comparisons. Two
sets are equal if and only if every element of each set is contained in the
other (each is a subset of the other). A set is less than another set if and
only if the first set is a proper subset of the second set (is a subset, but
is not equal). A set is greater than another set if and only if the first set
is a proper superset of the second set (is a superset, but is not equal).</p>
<p>Instances of <a class="reference internal" href="#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a> are compared to instances of <a class="reference internal" href="#frozenset" title="frozenset"><tt class="xref py py-class docutils literal"><span class="pre">frozenset</span></tt></a>
based on their members.  For example, <tt class="docutils literal"><span class="pre">set('abc')</span> <span class="pre">==</span> <span class="pre">frozenset('abc')</span></tt>
returns <tt class="xref docutils literal"><span class="pre">True</span></tt> and so does <tt class="docutils literal"><span class="pre">set('abc')</span> <span class="pre">in</span> <span class="pre">set([frozenset('abc')])</span></tt>.</p>
<p>The subset and equality comparisons do not generalize to a total ordering
function.  For example, any two non-empty disjoint sets are not equal and are not
subsets of each other, so <em>all</em> of the following return <tt class="xref docutils literal"><span class="pre">False</span></tt>: <tt class="docutils literal"><span class="pre">a&lt;b</span></tt>,
<tt class="docutils literal"><span class="pre">a==b</span></tt>, or <tt class="docutils literal"><span class="pre">a&gt;b</span></tt>. Accordingly, sets do not implement the <a class="reference internal" href="../reference/datamodel.html#object.__cmp__" title="object.__cmp__"><tt class="xref py py-meth docutils literal"><span class="pre">__cmp__()</span></tt></a>
method.</p>
<p>Since sets only define partial ordering (subset relationships), the output of
the <tt class="xref py py-meth docutils literal"><span class="pre">list.sort()</span></tt> method is undefined for lists of sets.</p>
<p>Set elements, like dictionary keys, must be <a class="reference internal" href="../glossary.html#term-hashable"><em class="xref std std-term">hashable</em></a>.</p>
<p>Binary operations that mix <a class="reference internal" href="#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a> instances with <a class="reference internal" href="#frozenset" title="frozenset"><tt class="xref py py-class docutils literal"><span class="pre">frozenset</span></tt></a>
return the type of the first operand.  For example: <tt class="docutils literal"><span class="pre">frozenset('ab')</span> <span class="pre">|</span>
<span class="pre">set('bc')</span></tt> returns an instance of <a class="reference internal" href="#frozenset" title="frozenset"><tt class="xref py py-class docutils literal"><span class="pre">frozenset</span></tt></a>.</p>
<p>The following table lists operations available for <a class="reference internal" href="#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a> that do not
apply to immutable instances of <a class="reference internal" href="#frozenset" title="frozenset"><tt class="xref py py-class docutils literal"><span class="pre">frozenset</span></tt></a>:</p>
<dl class="method">
<dt id="set.update">
<tt class="descname">update</tt><big>(</big><em>other</em>, <em>...</em><big>)</big><a class="headerlink" href="#set.update" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">set |= other | ...</tt></dt>
<dd><p>Update the set, adding elements from all others.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.6: </span>Accepts multiple input iterables.</p>
</dd></dl>

<dl class="method">
<dt id="set.intersection_update">
<tt class="descname">intersection_update</tt><big>(</big><em>other</em>, <em>...</em><big>)</big><a class="headerlink" href="#set.intersection_update" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">set &amp;= other &amp; ...</tt></dt>
<dd><p>Update the set, keeping only elements found in it and all others.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.6: </span>Accepts multiple input iterables.</p>
</dd></dl>

<dl class="method">
<dt id="set.difference_update">
<tt class="descname">difference_update</tt><big>(</big><em>other</em>, <em>...</em><big>)</big><a class="headerlink" href="#set.difference_update" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">set -= other | ...</tt></dt>
<dd><p>Update the set, removing elements found in others.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.6: </span>Accepts multiple input iterables.</p>
</dd></dl>

<dl class="method">
<dt id="set.symmetric_difference_update">
<tt class="descname">symmetric_difference_update</tt><big>(</big><em>other</em><big>)</big><a class="headerlink" href="#set.symmetric_difference_update" title="Permalink to this definition">¶</a></dt>
<dt>
<tt class="descname">set ^= other</tt></dt>
<dd><p>Update the set, keeping only elements found in either set, but not in both.</p>
</dd></dl>

<dl class="method">
<dt id="set.add">
<tt class="descname">add</tt><big>(</big><em>elem</em><big>)</big><a class="headerlink" href="#set.add" title="Permalink to this definition">¶</a></dt>
<dd><p>Add element <em>elem</em> to the set.</p>
</dd></dl>

<dl class="method">
<dt id="set.remove">
<tt class="descname">remove</tt><big>(</big><em>elem</em><big>)</big><a class="headerlink" href="#set.remove" title="Permalink to this definition">¶</a></dt>
<dd><p>Remove element <em>elem</em> from the set.  Raises <a class="reference internal" href="exceptions.html#exceptions.KeyError" title="exceptions.KeyError"><tt class="xref py py-exc docutils literal"><span class="pre">KeyError</span></tt></a> if <em>elem</em> is
not contained in the set.</p>
</dd></dl>

<dl class="method">
<dt id="set.discard">
<tt class="descname">discard</tt><big>(</big><em>elem</em><big>)</big><a class="headerlink" href="#set.discard" title="Permalink to this definition">¶</a></dt>
<dd><p>Remove element <em>elem</em> from the set if it is present.</p>
</dd></dl>

<dl class="method">
<dt id="set.pop">
<tt class="descname">pop</tt><big>(</big><big>)</big><a class="headerlink" href="#set.pop" title="Permalink to this definition">¶</a></dt>
<dd><p>Remove and return an arbitrary element from the set.  Raises
<a class="reference internal" href="exceptions.html#exceptions.KeyError" title="exceptions.KeyError"><tt class="xref py py-exc docutils literal"><span class="pre">KeyError</span></tt></a> if the set is empty.</p>
</dd></dl>

<dl class="method">
<dt id="set.clear">
<tt class="descname">clear</tt><big>(</big><big>)</big><a class="headerlink" href="#set.clear" title="Permalink to this definition">¶</a></dt>
<dd><p>Remove all elements from the set.</p>
</dd></dl>

<p>Note, the non-operator versions of the <a class="reference internal" href="#set.update" title="set.update"><tt class="xref py py-meth docutils literal"><span class="pre">update()</span></tt></a>,
<a class="reference internal" href="#set.intersection_update" title="set.intersection_update"><tt class="xref py py-meth docutils literal"><span class="pre">intersection_update()</span></tt></a>, <a class="reference internal" href="#set.difference_update" title="set.difference_update"><tt class="xref py py-meth docutils literal"><span class="pre">difference_update()</span></tt></a>, and
<a class="reference internal" href="#set.symmetric_difference_update" title="set.symmetric_difference_update"><tt class="xref py py-meth docutils literal"><span class="pre">symmetric_difference_update()</span></tt></a> methods will accept any iterable as an
argument.</p>
<p>Note, the <em>elem</em> argument to the <a class="reference internal" href="../reference/datamodel.html#object.__contains__" title="object.__contains__"><tt class="xref py py-meth docutils literal"><span class="pre">__contains__()</span></tt></a>, <a class="reference internal" href="#set.remove" title="set.remove"><tt class="xref py py-meth docutils literal"><span class="pre">remove()</span></tt></a>, and
<a class="reference internal" href="#set.discard" title="set.discard"><tt class="xref py py-meth docutils literal"><span class="pre">discard()</span></tt></a> methods may be a set.  To support searching for an equivalent
frozenset, the <em>elem</em> set is temporarily mutated during the search and then
restored.  During the search, the <em>elem</em> set should not be read or mutated
since it does not have a meaningful value.</p>
</dd></dl>

<div class="admonition-see-also admonition seealso">
<p class="first admonition-title">See also</p>
<dl class="last docutils">
<dt><a class="reference internal" href="sets.html#comparison-to-builtin-set"><em>Comparison to the built-in set types</em></a></dt>
<dd>Differences between the <a class="reference internal" href="sets.html#module-sets" title="sets: Implementation of sets of unique elements. (deprecated)"><tt class="xref py py-mod docutils literal"><span class="pre">sets</span></tt></a> module and the built-in set types.</dd>
</dl>
</div>
</div>
<div class="section" id="mapping-types-dict">
<span id="typesmapping"></span><h2>5.8. Mapping Types &#8212; <a class="reference internal" href="#dict" title="dict"><tt class="xref py py-class docutils literal"><span class="pre">dict</span></tt></a><a class="headerlink" href="#mapping-types-dict" title="Permalink to this headline">¶</a></h2>
<p id="index-32">A <a class="reference internal" href="../glossary.html#term-mapping"><em class="xref std std-term">mapping</em></a> object maps <a class="reference internal" href="../glossary.html#term-hashable"><em class="xref std std-term">hashable</em></a> values to arbitrary objects.
Mappings are mutable objects.  There is currently only one standard mapping
type, the <em class="dfn">dictionary</em>.  (For other containers see the built in
<a class="reference internal" href="functions.html#list" title="list"><tt class="xref py py-class docutils literal"><span class="pre">list</span></tt></a>, <a class="reference internal" href="#set" title="set"><tt class="xref py py-class docutils literal"><span class="pre">set</span></tt></a>, and <a class="reference internal" href="functions.html#tuple" title="tuple"><tt class="xref py py-class docutils literal"><span class="pre">tuple</span></tt></a> classes, and the
<a class="reference internal" href="collections.html#module-collections" title="collections: High-performance datatypes"><tt class="xref py py-mod docutils literal"><span class="pre">collections</span></tt></a> module.)</p>
<p>A dictionary&#8217;s keys are <em>almost</em> arbitrary values.  Values that are not
<a class="reference internal" href="../glossary.html#term-hashable"><em class="xref std std-term">hashable</em></a>, that is, values containing lists, dictionaries or other
mutable types (that are compared by value rather than by object identity) may
not be used as keys.  Numeric types used for keys obey the normal rules for
numeric comparison: if two numbers compare equal (such as <tt class="docutils literal"><span class="pre">1</span></tt> and <tt class="docutils literal"><span class="pre">1.0</span></tt>)
then they can be used interchangeably to index the same dictionary entry.  (Note
however, that since computers store floating-point numbers as approximations it
is usually unwise to use them as dictionary keys.)</p>
<p>Dictionaries can be created by placing a comma-separated list of <tt class="docutils literal"><span class="pre">key:</span> <span class="pre">value</span></tt>
pairs within braces, for example: <tt class="docutils literal"><span class="pre">{'jack':</span> <span class="pre">4098,</span> <span class="pre">'sjoerd':</span> <span class="pre">4127}</span></tt> or <tt class="docutils literal"><span class="pre">{4098:</span>
<span class="pre">'jack',</span> <span class="pre">4127:</span> <span class="pre">'sjoerd'}</span></tt>, or by the <a class="reference internal" href="#dict" title="dict"><tt class="xref py py-class docutils literal"><span class="pre">dict</span></tt></a> constructor.</p>
<dl class="class">
<dt id="dict">
<em class="property">class </em><tt class="descname">dict</tt><big>(</big><em>**kwarg</em><big>)</big><a class="headerlink" href="#dict" title="Permalink to this definition">¶</a></dt>
<dt>
<em class="property">class </em><tt class="descname">dict</tt><big>(</big><em>mapping</em>, <em>**kwarg</em><big>)</big></dt>
<dt>
<em class="property">class </em><tt class="descname">dict</tt><big>(</big><em>iterable</em>, <em>**kwarg</em><big>)</big></dt>
<dd><p>Return a new dictionary initialized from an optional positional argument
and a possibly empty set of keyword arguments.</p>
<p>If no positional argument is given, an empty dictionary is created.
If a positional argument is given and it is a mapping object, a dictionary
is created with the same key-value pairs as the mapping object.  Otherwise,
the positional argument must be an <a class="reference internal" href="../glossary.html#term-iterable"><em class="xref std std-term">iterable</em></a> object.  Each item in
the iterable must itself be an iterable with exactly two objects.  The
first object of each item becomes a key in the new dictionary, and the
second object the corresponding value.  If a key occurs more than once, the
last value for that key becomes the corresponding value in the new
dictionary.</p>
<p>If keyword arguments are given, the keyword arguments and their values are
added to the dictionary created from the positional argument.  If a key
being added is already present, the value from the keyword argument
replaces the value from the positional argument.</p>
<p>To illustrate, the following examples all return a dictionary equal to
<tt class="docutils literal"><span class="pre">{&quot;one&quot;:</span> <span class="pre">1,</span> <span class="pre">&quot;two&quot;:</span> <span class="pre">2,</span> <span class="pre">&quot;three&quot;:</span> <span class="pre">3}</span></tt>:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">a</span> <span class="o">=</span> <span class="nb">dict</span><span class="p">(</span><span class="n">one</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">two</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">three</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">b</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;one&#39;</span><span class="p">:</span> <span class="mi">1</span><span class="p">,</span> <span class="s">&#39;two&#39;</span><span class="p">:</span> <span class="mi">2</span><span class="p">,</span> <span class="s">&#39;three&#39;</span><span class="p">:</span> <span class="mi">3</span><span class="p">}</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">c</span> <span class="o">=</span> <span class="nb">dict</span><span class="p">(</span><span class="nb">zip</span><span class="p">([</span><span class="s">&#39;one&#39;</span><span class="p">,</span> <span class="s">&#39;two&#39;</span><span class="p">,</span> <span class="s">&#39;three&#39;</span><span class="p">],</span> <span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">]))</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">d</span> <span class="o">=</span> <span class="nb">dict</span><span class="p">([(</span><span class="s">&#39;two&#39;</span><span class="p">,</span> <span class="mi">2</span><span class="p">),</span> <span class="p">(</span><span class="s">&#39;one&#39;</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="s">&#39;three&#39;</span><span class="p">,</span> <span class="mi">3</span><span class="p">)])</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">e</span> <span class="o">=</span> <span class="nb">dict</span><span class="p">({</span><span class="s">&#39;three&#39;</span><span class="p">:</span> <span class="mi">3</span><span class="p">,</span> <span class="s">&#39;one&#39;</span><span class="p">:</span> <span class="mi">1</span><span class="p">,</span> <span class="s">&#39;two&#39;</span><span class="p">:</span> <span class="mi">2</span><span class="p">})</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">a</span> <span class="o">==</span> <span class="n">b</span> <span class="o">==</span> <span class="n">c</span> <span class="o">==</span> <span class="n">d</span> <span class="o">==</span> <span class="n">e</span>
<span class="go">True</span>
</pre></div>
</div>
<p>Providing keyword arguments as in the first example only works for keys that
are valid Python identifiers.  Otherwise, any valid keys can be used.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.3: </span>Support for building a dictionary from keyword arguments added.</p>
<p>These are the operations that dictionaries support (and therefore, custom
mapping types should support too):</p>
<dl class="describe">
<dt>
<tt class="descname">len(d)</tt></dt>
<dd><p>Return the number of items in the dictionary <em>d</em>.</p>
</dd></dl>

<dl class="describe">
<dt>
<tt class="descname">d[key]</tt></dt>
<dd><p>Return the item of <em>d</em> with key <em>key</em>.  Raises a <a class="reference internal" href="exceptions.html#exceptions.KeyError" title="exceptions.KeyError"><tt class="xref py py-exc docutils literal"><span class="pre">KeyError</span></tt></a> if <em>key</em>
is not in the map.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.5: </span>If a subclass of dict defines a method <tt class="xref py py-meth docutils literal"><span class="pre">__missing__()</span></tt>, if the key
<em>key</em> is not present, the <tt class="docutils literal"><span class="pre">d[key]</span></tt> operation calls that method with
the key <em>key</em> as argument.  The <tt class="docutils literal"><span class="pre">d[key]</span></tt> operation then returns or
raises whatever is returned or raised by the <tt class="docutils literal"><span class="pre">__missing__(key)</span></tt> call
if the key is not present. No other operations or methods invoke
<tt class="xref py py-meth docutils literal"><span class="pre">__missing__()</span></tt>. If <tt class="xref py py-meth docutils literal"><span class="pre">__missing__()</span></tt> is not defined,
<a class="reference internal" href="exceptions.html#exceptions.KeyError" title="exceptions.KeyError"><tt class="xref py py-exc docutils literal"><span class="pre">KeyError</span></tt></a> is raised.  <tt class="xref py py-meth docutils literal"><span class="pre">__missing__()</span></tt> must be a method; it
cannot be an instance variable. For an example, see
<a class="reference internal" href="collections.html#collections.defaultdict" title="collections.defaultdict"><tt class="xref py py-class docutils literal"><span class="pre">collections.defaultdict</span></tt></a>.</p>
</dd></dl>

<dl class="describe">
<dt>
<tt class="descname">d[key] = value</tt></dt>
<dd><p>Set <tt class="docutils literal"><span class="pre">d[key]</span></tt> to <em>value</em>.</p>
</dd></dl>

<dl class="describe">
<dt>
<tt class="descname">del d[key]</tt></dt>
<dd><p>Remove <tt class="docutils literal"><span class="pre">d[key]</span></tt> from <em>d</em>.  Raises a <a class="reference internal" href="exceptions.html#exceptions.KeyError" title="exceptions.KeyError"><tt class="xref py py-exc docutils literal"><span class="pre">KeyError</span></tt></a> if <em>key</em> is not in the
map.</p>
</dd></dl>

<dl class="describe">
<dt>
<tt class="descname">key in d</tt></dt>
<dd><p>Return <tt class="xref docutils literal"><span class="pre">True</span></tt> if <em>d</em> has a key <em>key</em>, else <tt class="xref docutils literal"><span class="pre">False</span></tt>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
</dd></dl>

<dl class="describe">
<dt>
<tt class="descname">key not in d</tt></dt>
<dd><p>Equivalent to <tt class="docutils literal"><span class="pre">not</span> <span class="pre">key</span> <span class="pre">in</span> <span class="pre">d</span></tt>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
</dd></dl>

<dl class="describe">
<dt>
<tt class="descname">iter(d)</tt></dt>
<dd><p>Return an iterator over the keys of the dictionary.  This is a shortcut
for <a class="reference internal" href="#dict.iterkeys" title="dict.iterkeys"><tt class="xref py py-meth docutils literal"><span class="pre">iterkeys()</span></tt></a>.</p>
</dd></dl>

<dl class="method">
<dt id="dict.clear">
<tt class="descname">clear</tt><big>(</big><big>)</big><a class="headerlink" href="#dict.clear" title="Permalink to this definition">¶</a></dt>
<dd><p>Remove all items from the dictionary.</p>
</dd></dl>

<dl class="method">
<dt id="dict.copy">
<tt class="descname">copy</tt><big>(</big><big>)</big><a class="headerlink" href="#dict.copy" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a shallow copy of the dictionary.</p>
</dd></dl>

<dl class="method">
<dt id="dict.fromkeys">
<tt class="descname">fromkeys</tt><big>(</big><em>seq</em><span class="optional">[</span>, <em>value</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#dict.fromkeys" title="Permalink to this definition">¶</a></dt>
<dd><p>Create a new dictionary with keys from <em>seq</em> and values set to <em>value</em>.</p>
<p><a class="reference internal" href="#dict.fromkeys" title="dict.fromkeys"><tt class="xref py py-func docutils literal"><span class="pre">fromkeys()</span></tt></a> is a class method that returns a new dictionary. <em>value</em>
defaults to <tt class="xref docutils literal"><span class="pre">None</span></tt>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.3.</span></p>
</dd></dl>

<dl class="method">
<dt id="dict.get">
<tt class="descname">get</tt><big>(</big><em>key</em><span class="optional">[</span>, <em>default</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#dict.get" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the value for <em>key</em> if <em>key</em> is in the dictionary, else <em>default</em>.
If <em>default</em> is not given, it defaults to <tt class="xref docutils literal"><span class="pre">None</span></tt>, so that this method
never raises a <a class="reference internal" href="exceptions.html#exceptions.KeyError" title="exceptions.KeyError"><tt class="xref py py-exc docutils literal"><span class="pre">KeyError</span></tt></a>.</p>
</dd></dl>

<dl class="method">
<dt id="dict.has_key">
<tt class="descname">has_key</tt><big>(</big><em>key</em><big>)</big><a class="headerlink" href="#dict.has_key" title="Permalink to this definition">¶</a></dt>
<dd><p>Test for the presence of <em>key</em> in the dictionary.  <a class="reference internal" href="#dict.has_key" title="dict.has_key"><tt class="xref py py-meth docutils literal"><span class="pre">has_key()</span></tt></a> is
deprecated in favor of <tt class="docutils literal"><span class="pre">key</span> <span class="pre">in</span> <span class="pre">d</span></tt>.</p>
</dd></dl>

<dl class="method">
<dt id="dict.items">
<tt class="descname">items</tt><big>(</big><big>)</big><a class="headerlink" href="#dict.items" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a copy of the dictionary&#8217;s list of <tt class="docutils literal"><span class="pre">(key,</span> <span class="pre">value)</span></tt> pairs.</p>
<div class="impl-detail compound">
<p><strong>CPython implementation detail:</strong> Keys and values are listed in an arbitrary order which is non-random,
varies across Python implementations, and depends on the dictionary&#8217;s
history of insertions and deletions.</p>
</div>
<p>If <a class="reference internal" href="#dict.items" title="dict.items"><tt class="xref py py-meth docutils literal"><span class="pre">items()</span></tt></a>, <a class="reference internal" href="#dict.keys" title="dict.keys"><tt class="xref py py-meth docutils literal"><span class="pre">keys()</span></tt></a>, <a class="reference internal" href="#dict.values" title="dict.values"><tt class="xref py py-meth docutils literal"><span class="pre">values()</span></tt></a>, <a class="reference internal" href="#dict.iteritems" title="dict.iteritems"><tt class="xref py py-meth docutils literal"><span class="pre">iteritems()</span></tt></a>,
<a class="reference internal" href="#dict.iterkeys" title="dict.iterkeys"><tt class="xref py py-meth docutils literal"><span class="pre">iterkeys()</span></tt></a>, and <a class="reference internal" href="#dict.itervalues" title="dict.itervalues"><tt class="xref py py-meth docutils literal"><span class="pre">itervalues()</span></tt></a> are called with no intervening
modifications to the dictionary, the lists will directly correspond.  This
allows the creation of <tt class="docutils literal"><span class="pre">(value,</span> <span class="pre">key)</span></tt> pairs using <a class="reference internal" href="functions.html#zip" title="zip"><tt class="xref py py-func docutils literal"><span class="pre">zip()</span></tt></a>: <tt class="docutils literal"><span class="pre">pairs</span> <span class="pre">=</span>
<span class="pre">zip(d.values(),</span> <span class="pre">d.keys())</span></tt>.  The same relationship holds for the
<a class="reference internal" href="#dict.iterkeys" title="dict.iterkeys"><tt class="xref py py-meth docutils literal"><span class="pre">iterkeys()</span></tt></a> and <a class="reference internal" href="#dict.itervalues" title="dict.itervalues"><tt class="xref py py-meth docutils literal"><span class="pre">itervalues()</span></tt></a> methods: <tt class="docutils literal"><span class="pre">pairs</span> <span class="pre">=</span>
<span class="pre">zip(d.itervalues(),</span> <span class="pre">d.iterkeys())</span></tt> provides the same value for
<tt class="docutils literal"><span class="pre">pairs</span></tt>. Another way to create the same list is <tt class="docutils literal"><span class="pre">pairs</span> <span class="pre">=</span> <span class="pre">[(v,</span> <span class="pre">k)</span> <span class="pre">for</span>
<span class="pre">(k,</span> <span class="pre">v)</span> <span class="pre">in</span> <span class="pre">d.iteritems()]</span></tt>.</p>
</dd></dl>

<dl class="method">
<dt id="dict.iteritems">
<tt class="descname">iteritems</tt><big>(</big><big>)</big><a class="headerlink" href="#dict.iteritems" title="Permalink to this definition">¶</a></dt>
<dd><p>Return an iterator over the dictionary&#8217;s <tt class="docutils literal"><span class="pre">(key,</span> <span class="pre">value)</span></tt> pairs.  See the
note for <a class="reference internal" href="#dict.items" title="dict.items"><tt class="xref py py-meth docutils literal"><span class="pre">dict.items()</span></tt></a>.</p>
<p>Using <a class="reference internal" href="#dict.iteritems" title="dict.iteritems"><tt class="xref py py-meth docutils literal"><span class="pre">iteritems()</span></tt></a> while adding or deleting entries in the dictionary
may raise a <a class="reference internal" href="exceptions.html#exceptions.RuntimeError" title="exceptions.RuntimeError"><tt class="xref py py-exc docutils literal"><span class="pre">RuntimeError</span></tt></a> or fail to iterate over all entries.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
</dd></dl>

<dl class="method">
<dt id="dict.iterkeys">
<tt class="descname">iterkeys</tt><big>(</big><big>)</big><a class="headerlink" href="#dict.iterkeys" title="Permalink to this definition">¶</a></dt>
<dd><p>Return an iterator over the dictionary&#8217;s keys.  See the note for
<a class="reference internal" href="#dict.items" title="dict.items"><tt class="xref py py-meth docutils literal"><span class="pre">dict.items()</span></tt></a>.</p>
<p>Using <a class="reference internal" href="#dict.iterkeys" title="dict.iterkeys"><tt class="xref py py-meth docutils literal"><span class="pre">iterkeys()</span></tt></a> while adding or deleting entries in the dictionary
may raise a <a class="reference internal" href="exceptions.html#exceptions.RuntimeError" title="exceptions.RuntimeError"><tt class="xref py py-exc docutils literal"><span class="pre">RuntimeError</span></tt></a> or fail to iterate over all entries.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
</dd></dl>

<dl class="method">
<dt id="dict.itervalues">
<tt class="descname">itervalues</tt><big>(</big><big>)</big><a class="headerlink" href="#dict.itervalues" title="Permalink to this definition">¶</a></dt>
<dd><p>Return an iterator over the dictionary&#8217;s values.  See the note for
<a class="reference internal" href="#dict.items" title="dict.items"><tt class="xref py py-meth docutils literal"><span class="pre">dict.items()</span></tt></a>.</p>
<p>Using <a class="reference internal" href="#dict.itervalues" title="dict.itervalues"><tt class="xref py py-meth docutils literal"><span class="pre">itervalues()</span></tt></a> while adding or deleting entries in the
dictionary may raise a <a class="reference internal" href="exceptions.html#exceptions.RuntimeError" title="exceptions.RuntimeError"><tt class="xref py py-exc docutils literal"><span class="pre">RuntimeError</span></tt></a> or fail to iterate over all
entries.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.2.</span></p>
</dd></dl>

<dl class="method">
<dt id="dict.keys">
<tt class="descname">keys</tt><big>(</big><big>)</big><a class="headerlink" href="#dict.keys" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a copy of the dictionary&#8217;s list of keys.  See the note for
<a class="reference internal" href="#dict.items" title="dict.items"><tt class="xref py py-meth docutils literal"><span class="pre">dict.items()</span></tt></a>.</p>
</dd></dl>

<dl class="method">
<dt id="dict.pop">
<tt class="descname">pop</tt><big>(</big><em>key</em><span class="optional">[</span>, <em>default</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#dict.pop" title="Permalink to this definition">¶</a></dt>
<dd><p>If <em>key</em> is in the dictionary, remove it and return its value, else return
<em>default</em>.  If <em>default</em> is not given and <em>key</em> is not in the dictionary,
a <a class="reference internal" href="exceptions.html#exceptions.KeyError" title="exceptions.KeyError"><tt class="xref py py-exc docutils literal"><span class="pre">KeyError</span></tt></a> is raised.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.3.</span></p>
</dd></dl>

<dl class="method">
<dt id="dict.popitem">
<tt class="descname">popitem</tt><big>(</big><big>)</big><a class="headerlink" href="#dict.popitem" title="Permalink to this definition">¶</a></dt>
<dd><p>Remove and return an arbitrary <tt class="docutils literal"><span class="pre">(key,</span> <span class="pre">value)</span></tt> pair from the dictionary.</p>
<p><a class="reference internal" href="#dict.popitem" title="dict.popitem"><tt class="xref py py-func docutils literal"><span class="pre">popitem()</span></tt></a> is useful to destructively iterate over a dictionary, as
often used in set algorithms.  If the dictionary is empty, calling
<a class="reference internal" href="#dict.popitem" title="dict.popitem"><tt class="xref py py-func docutils literal"><span class="pre">popitem()</span></tt></a> raises a <a class="reference internal" href="exceptions.html#exceptions.KeyError" title="exceptions.KeyError"><tt class="xref py py-exc docutils literal"><span class="pre">KeyError</span></tt></a>.</p>
</dd></dl>

<dl class="method">
<dt id="dict.setdefault">
<tt class="descname">setdefault</tt><big>(</big><em>key</em><span class="optional">[</span>, <em>default</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#dict.setdefault" title="Permalink to this definition">¶</a></dt>
<dd><p>If <em>key</em> is in the dictionary, return its value.  If not, insert <em>key</em>
with a value of <em>default</em> and return <em>default</em>.  <em>default</em> defaults to
<tt class="xref docutils literal"><span class="pre">None</span></tt>.</p>
</dd></dl>

<dl class="method">
<dt id="dict.update">
<tt class="descname">update</tt><big>(</big><span class="optional">[</span><em>other</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#dict.update" title="Permalink to this definition">¶</a></dt>
<dd><p>Update the dictionary with the key/value pairs from <em>other</em>, overwriting
existing keys.  Return <tt class="xref docutils literal"><span class="pre">None</span></tt>.</p>
<p><a class="reference internal" href="#dict.update" title="dict.update"><tt class="xref py py-func docutils literal"><span class="pre">update()</span></tt></a> accepts either another dictionary object or an iterable of
key/value pairs (as tuples or other iterables of length two).  If keyword
arguments are specified, the dictionary is then updated with those
key/value pairs: <tt class="docutils literal"><span class="pre">d.update(red=1,</span> <span class="pre">blue=2)</span></tt>.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.4: </span>Allowed the argument to be an iterable of key/value pairs and allowed
keyword arguments.</p>
</dd></dl>

<dl class="method">
<dt id="dict.values">
<tt class="descname">values</tt><big>(</big><big>)</big><a class="headerlink" href="#dict.values" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a copy of the dictionary&#8217;s list of values.  See the note for
<a class="reference internal" href="#dict.items" title="dict.items"><tt class="xref py py-meth docutils literal"><span class="pre">dict.items()</span></tt></a>.</p>
</dd></dl>

<dl class="method">
<dt id="dict.viewitems">
<tt class="descname">viewitems</tt><big>(</big><big>)</big><a class="headerlink" href="#dict.viewitems" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a new view of the dictionary&#8217;s items (<tt class="docutils literal"><span class="pre">(key,</span> <span class="pre">value)</span></tt> pairs).  See
below for documentation of view objects.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.7.</span></p>
</dd></dl>

<dl class="method">
<dt id="dict.viewkeys">
<tt class="descname">viewkeys</tt><big>(</big><big>)</big><a class="headerlink" href="#dict.viewkeys" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a new view of the dictionary&#8217;s keys.  See below for documentation of
view objects.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.7.</span></p>
</dd></dl>

<dl class="method">
<dt id="dict.viewvalues">
<tt class="descname">viewvalues</tt><big>(</big><big>)</big><a class="headerlink" href="#dict.viewvalues" title="Permalink to this definition">¶</a></dt>
<dd><p>Return a new view of the dictionary&#8217;s values.  See below for documentation of
view objects.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.7.</span></p>
</dd></dl>

</dd></dl>

<div class="section" id="dictionary-view-objects">
<span id="dict-views"></span><h3>5.8.1. Dictionary view objects<a class="headerlink" href="#dictionary-view-objects" title="Permalink to this headline">¶</a></h3>
<p>The objects returned by <a class="reference internal" href="#dict.viewkeys" title="dict.viewkeys"><tt class="xref py py-meth docutils literal"><span class="pre">dict.viewkeys()</span></tt></a>, <a class="reference internal" href="#dict.viewvalues" title="dict.viewvalues"><tt class="xref py py-meth docutils literal"><span class="pre">dict.viewvalues()</span></tt></a> and
<a class="reference internal" href="#dict.viewitems" title="dict.viewitems"><tt class="xref py py-meth docutils literal"><span class="pre">dict.viewitems()</span></tt></a> are <em>view objects</em>.  They provide a dynamic view on the
dictionary&#8217;s entries, which means that when the dictionary changes, the view
reflects these changes.</p>
<p>Dictionary views can be iterated over to yield their respective data, and
support membership tests:</p>
<dl class="describe">
<dt>
<tt class="descname">len(dictview)</tt></dt>
<dd><p>Return the number of entries in the dictionary.</p>
</dd></dl>

<dl class="describe">
<dt>
<tt class="descname">iter(dictview)</tt></dt>
<dd><p>Return an iterator over the keys, values or items (represented as tuples of
<tt class="docutils literal"><span class="pre">(key,</span> <span class="pre">value)</span></tt>) in the dictionary.</p>
<p>Keys and values are iterated over in an arbitrary order which is non-random,
varies across Python implementations, and depends on the dictionary&#8217;s history
of insertions and deletions. If keys, values and items views are iterated
over with no intervening modifications to the dictionary, the order of items
will directly correspond.  This allows the creation of <tt class="docutils literal"><span class="pre">(value,</span> <span class="pre">key)</span></tt> pairs
using <a class="reference internal" href="functions.html#zip" title="zip"><tt class="xref py py-func docutils literal"><span class="pre">zip()</span></tt></a>: <tt class="docutils literal"><span class="pre">pairs</span> <span class="pre">=</span> <span class="pre">zip(d.values(),</span> <span class="pre">d.keys())</span></tt>.  Another way to
create the same list is <tt class="docutils literal"><span class="pre">pairs</span> <span class="pre">=</span> <span class="pre">[(v,</span> <span class="pre">k)</span> <span class="pre">for</span> <span class="pre">(k,</span> <span class="pre">v)</span> <span class="pre">in</span> <span class="pre">d.items()]</span></tt>.</p>
<p>Iterating views while adding or deleting entries in the dictionary may raise
a <a class="reference internal" href="exceptions.html#exceptions.RuntimeError" title="exceptions.RuntimeError"><tt class="xref py py-exc docutils literal"><span class="pre">RuntimeError</span></tt></a> or fail to iterate over all entries.</p>
</dd></dl>

<dl class="describe">
<dt>
<tt class="descname">x in dictview</tt></dt>
<dd><p>Return <tt class="xref docutils literal"><span class="pre">True</span></tt> if <em>x</em> is in the underlying dictionary&#8217;s keys, values or
items (in the latter case, <em>x</em> should be a <tt class="docutils literal"><span class="pre">(key,</span> <span class="pre">value)</span></tt> tuple).</p>
</dd></dl>

<p>Keys views are set-like since their entries are unique and hashable.  If all
values are hashable, so that (key, value) pairs are unique and hashable, then
the items view is also set-like.  (Values views are not treated as set-like
since the entries are generally not unique.)  Then these set operations are
available (&#8220;other&#8221; refers either to another view or a set):</p>
<dl class="describe">
<dt>
<tt class="descname">dictview &amp; other</tt></dt>
<dd><p>Return the intersection of the dictview and the other object as a new set.</p>
</dd></dl>

<dl class="describe">
<dt>
<tt class="descname">dictview | other</tt></dt>
<dd><p>Return the union of the dictview and the other object as a new set.</p>
</dd></dl>

<dl class="describe">
<dt>
<tt class="descname">dictview - other</tt></dt>
<dd><p>Return the difference between the dictview and the other object (all elements
in <em>dictview</em> that aren&#8217;t in <em>other</em>) as a new set.</p>
</dd></dl>

<dl class="describe">
<dt>
<tt class="descname">dictview ^ other</tt></dt>
<dd><p>Return the symmetric difference (all elements either in <em>dictview</em> or
<em>other</em>, but not in both) of the dictview and the other object as a new set.</p>
</dd></dl>

<p>An example of dictionary view usage:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">dishes</span> <span class="o">=</span> <span class="p">{</span><span class="s">&#39;eggs&#39;</span><span class="p">:</span> <span class="mi">2</span><span class="p">,</span> <span class="s">&#39;sausage&#39;</span><span class="p">:</span> <span class="mi">1</span><span class="p">,</span> <span class="s">&#39;bacon&#39;</span><span class="p">:</span> <span class="mi">1</span><span class="p">,</span> <span class="s">&#39;spam&#39;</span><span class="p">:</span> <span class="mi">500</span><span class="p">}</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">keys</span> <span class="o">=</span> <span class="n">dishes</span><span class="o">.</span><span class="n">viewkeys</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">values</span> <span class="o">=</span> <span class="n">dishes</span><span class="o">.</span><span class="n">viewvalues</span><span class="p">()</span>

<span class="gp">&gt;&gt;&gt; </span><span class="c"># iteration</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">n</span> <span class="o">=</span> <span class="mi">0</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">for</span> <span class="n">val</span> <span class="ow">in</span> <span class="n">values</span><span class="p">:</span>
<span class="gp">... </span>    <span class="n">n</span> <span class="o">+=</span> <span class="n">val</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">print</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
<span class="go">504</span>

<span class="gp">&gt;&gt;&gt; </span><span class="c"># keys and values are iterated over in the same order</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">list</span><span class="p">(</span><span class="n">keys</span><span class="p">)</span>
<span class="go">[&#39;eggs&#39;, &#39;bacon&#39;, &#39;sausage&#39;, &#39;spam&#39;]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">list</span><span class="p">(</span><span class="n">values</span><span class="p">)</span>
<span class="go">[2, 1, 1, 500]</span>

<span class="gp">&gt;&gt;&gt; </span><span class="c"># view objects are dynamic and reflect dict changes</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">del</span> <span class="n">dishes</span><span class="p">[</span><span class="s">&#39;eggs&#39;</span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="k">del</span> <span class="n">dishes</span><span class="p">[</span><span class="s">&#39;sausage&#39;</span><span class="p">]</span>
<span class="gp">&gt;&gt;&gt; </span><span class="nb">list</span><span class="p">(</span><span class="n">keys</span><span class="p">)</span>
<span class="go">[&#39;spam&#39;, &#39;bacon&#39;]</span>

<span class="gp">&gt;&gt;&gt; </span><span class="c"># set operations</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">keys</span> <span class="o">&amp;</span> <span class="p">{</span><span class="s">&#39;eggs&#39;</span><span class="p">,</span> <span class="s">&#39;bacon&#39;</span><span class="p">,</span> <span class="s">&#39;salad&#39;</span><span class="p">}</span>
<span class="go">{&#39;bacon&#39;}</span>
</pre></div>
</div>
</div>
</div>
<div class="section" id="file-objects">
<span id="bltin-file-objects"></span><h2>5.9. File Objects<a class="headerlink" href="#file-objects" title="Permalink to this headline">¶</a></h2>
<p id="index-33">File objects are implemented using C&#8217;s <tt class="docutils literal"><span class="pre">stdio</span></tt> package and can be
created with the built-in <a class="reference internal" href="functions.html#open" title="open"><tt class="xref py py-func docutils literal"><span class="pre">open()</span></tt></a> function.  File
objects are also returned by some other built-in functions and methods,
such as <a class="reference internal" href="os.html#os.popen" title="os.popen"><tt class="xref py py-func docutils literal"><span class="pre">os.popen()</span></tt></a> and <a class="reference internal" href="os.html#os.fdopen" title="os.fdopen"><tt class="xref py py-func docutils literal"><span class="pre">os.fdopen()</span></tt></a> and the <tt class="xref py py-meth docutils literal"><span class="pre">makefile()</span></tt>
method of socket objects. Temporary files can be created using the
<a class="reference internal" href="tempfile.html#module-tempfile" title="tempfile: Generate temporary files and directories."><tt class="xref py py-mod docutils literal"><span class="pre">tempfile</span></tt></a> module, and high-level file operations such as copying,
moving, and deleting files and directories can be achieved with the
<a class="reference internal" href="shutil.html#module-shutil" title="shutil: High-level file operations, including copying."><tt class="xref py py-mod docutils literal"><span class="pre">shutil</span></tt></a> module.</p>
<p>When a file operation fails for an I/O-related reason, the exception
<a class="reference internal" href="exceptions.html#exceptions.IOError" title="exceptions.IOError"><tt class="xref py py-exc docutils literal"><span class="pre">IOError</span></tt></a> is raised.  This includes situations where the operation is not
defined for some reason, like <tt class="xref py py-meth docutils literal"><span class="pre">seek()</span></tt> on a tty device or writing a file
opened for reading.</p>
<p>Files have the following methods:</p>
<dl class="method">
<dt id="file.close">
<tt class="descclassname">file.</tt><tt class="descname">close</tt><big>(</big><big>)</big><a class="headerlink" href="#file.close" title="Permalink to this definition">¶</a></dt>
<dd><p>Close the file.  A closed file cannot be read or written any more. Any operation
which requires that the file be open will raise a <a class="reference internal" href="exceptions.html#exceptions.ValueError" title="exceptions.ValueError"><tt class="xref py py-exc docutils literal"><span class="pre">ValueError</span></tt></a> after the
file has been closed.  Calling <a class="reference internal" href="#file.close" title="file.close"><tt class="xref py py-meth docutils literal"><span class="pre">close()</span></tt></a> more than once is allowed.</p>
<p>As of Python 2.5, you can avoid having to call this method explicitly if you use
the <a class="reference internal" href="../reference/compound_stmts.html#with"><tt class="xref std std-keyword docutils literal"><span class="pre">with</span></tt></a> statement.  For example, the following code will
automatically close <em>f</em> when the <a class="reference internal" href="../reference/compound_stmts.html#with"><tt class="xref std std-keyword docutils literal"><span class="pre">with</span></tt></a> block is exited:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="kn">from</span> <span class="nn">__future__</span> <span class="kn">import</span> <span class="n">with_statement</span> <span class="c"># This isn&#39;t required in Python 2.6</span>

<span class="k">with</span> <span class="nb">open</span><span class="p">(</span><span class="s">&quot;hello.txt&quot;</span><span class="p">)</span> <span class="k">as</span> <span class="n">f</span><span class="p">:</span>
    <span class="k">for</span> <span class="n">line</span> <span class="ow">in</span> <span class="n">f</span><span class="p">:</span>
        <span class="k">print</span> <span class="n">line</span><span class="p">,</span>
</pre></div>
</div>
<p>In older versions of Python, you would have needed to do this to get the same
effect:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="n">f</span> <span class="o">=</span> <span class="nb">open</span><span class="p">(</span><span class="s">&quot;hello.txt&quot;</span><span class="p">)</span>
<span class="k">try</span><span class="p">:</span>
    <span class="k">for</span> <span class="n">line</span> <span class="ow">in</span> <span class="n">f</span><span class="p">:</span>
        <span class="k">print</span> <span class="n">line</span><span class="p">,</span>
<span class="k">finally</span><span class="p">:</span>
    <span class="n">f</span><span class="o">.</span><span class="n">close</span><span class="p">()</span>
</pre></div>
</div>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Not all &#8220;file-like&#8221; types in Python support use as a context manager for the
<a class="reference internal" href="../reference/compound_stmts.html#with"><tt class="xref std std-keyword docutils literal"><span class="pre">with</span></tt></a> statement.  If your code is intended to work with any file-like
object, you can use the function <a class="reference internal" href="contextlib.html#contextlib.closing" title="contextlib.closing"><tt class="xref py py-func docutils literal"><span class="pre">contextlib.closing()</span></tt></a> instead of using
the object directly.</p>
</div>
</dd></dl>

<dl class="method">
<dt id="file.flush">
<tt class="descclassname">file.</tt><tt class="descname">flush</tt><big>(</big><big>)</big><a class="headerlink" href="#file.flush" title="Permalink to this definition">¶</a></dt>
<dd><p>Flush the internal buffer, like <tt class="docutils literal"><span class="pre">stdio</span></tt>&#8216;s <tt class="xref c c-func docutils literal"><span class="pre">fflush()</span></tt>.  This may be a
no-op on some file-like objects.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last"><a class="reference internal" href="#file.flush" title="file.flush"><tt class="xref py py-meth docutils literal"><span class="pre">flush()</span></tt></a> does not necessarily write the file&#8217;s data to disk.  Use
<a class="reference internal" href="#file.flush" title="file.flush"><tt class="xref py py-meth docutils literal"><span class="pre">flush()</span></tt></a> followed by <a class="reference internal" href="os.html#os.fsync" title="os.fsync"><tt class="xref py py-func docutils literal"><span class="pre">os.fsync()</span></tt></a> to ensure this behavior.</p>
</div>
</dd></dl>

<dl class="method">
<dt id="file.fileno">
<tt class="descclassname">file.</tt><tt class="descname">fileno</tt><big>(</big><big>)</big><a class="headerlink" href="#file.fileno" title="Permalink to this definition">¶</a></dt>
<dd><p id="index-34">Return the integer &#8220;file descriptor&#8221; that is used by the underlying
implementation to request I/O operations from the operating system.  This can be
useful for other, lower level interfaces that use file descriptors, such as the
<a class="reference internal" href="fcntl.html#module-fcntl" title="fcntl: The fcntl() and ioctl() system calls. (Unix)"><tt class="xref py py-mod docutils literal"><span class="pre">fcntl</span></tt></a> module or <a class="reference internal" href="os.html#os.read" title="os.read"><tt class="xref py py-func docutils literal"><span class="pre">os.read()</span></tt></a> and friends.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">File-like objects which do not have a real file descriptor should <em>not</em> provide
this method!</p>
</div>
</dd></dl>

<dl class="method">
<dt id="file.isatty">
<tt class="descclassname">file.</tt><tt class="descname">isatty</tt><big>(</big><big>)</big><a class="headerlink" href="#file.isatty" title="Permalink to this definition">¶</a></dt>
<dd><p>Return <tt class="xref docutils literal"><span class="pre">True</span></tt> if the file is connected to a tty(-like) device, else <tt class="xref docutils literal"><span class="pre">False</span></tt>.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">If a file-like object is not associated with a real file, this method should
<em>not</em> be implemented.</p>
</div>
</dd></dl>

<dl class="method">
<dt id="file.next">
<tt class="descclassname">file.</tt><tt class="descname">next</tt><big>(</big><big>)</big><a class="headerlink" href="#file.next" title="Permalink to this definition">¶</a></dt>
<dd><p>A file object is its own iterator, for example <tt class="docutils literal"><span class="pre">iter(f)</span></tt> returns <em>f</em> (unless
<em>f</em> is closed).  When a file is used as an iterator, typically in a
<a class="reference internal" href="../reference/compound_stmts.html#for"><tt class="xref std std-keyword docutils literal"><span class="pre">for</span></tt></a> loop (for example, <tt class="docutils literal"><span class="pre">for</span> <span class="pre">line</span> <span class="pre">in</span> <span class="pre">f:</span> <span class="pre">print</span> <span class="pre">line.strip()</span></tt>), the
<a class="reference internal" href="#file.next" title="file.next"><tt class="xref py py-meth docutils literal"><span class="pre">next()</span></tt></a> method is called repeatedly.  This method returns the next input
line, or raises <a class="reference internal" href="exceptions.html#exceptions.StopIteration" title="exceptions.StopIteration"><tt class="xref py py-exc docutils literal"><span class="pre">StopIteration</span></tt></a> when EOF is hit when the file is open for
reading (behavior is undefined when the file is open for writing).  In order to
make a <a class="reference internal" href="../reference/compound_stmts.html#for"><tt class="xref std std-keyword docutils literal"><span class="pre">for</span></tt></a> loop the most efficient way of looping over the lines of a
file (a very common operation), the <a class="reference internal" href="#file.next" title="file.next"><tt class="xref py py-meth docutils literal"><span class="pre">next()</span></tt></a> method uses a hidden read-ahead
buffer.  As a consequence of using a read-ahead buffer, combining <a class="reference internal" href="#file.next" title="file.next"><tt class="xref py py-meth docutils literal"><span class="pre">next()</span></tt></a>
with other file methods (like <a class="reference internal" href="#file.readline" title="file.readline"><tt class="xref py py-meth docutils literal"><span class="pre">readline()</span></tt></a>) does not work right.  However,
using <a class="reference internal" href="#file.seek" title="file.seek"><tt class="xref py py-meth docutils literal"><span class="pre">seek()</span></tt></a> to reposition the file to an absolute position will flush the
read-ahead buffer.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.3.</span></p>
</dd></dl>

<dl class="method">
<dt id="file.read">
<tt class="descclassname">file.</tt><tt class="descname">read</tt><big>(</big><span class="optional">[</span><em>size</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#file.read" title="Permalink to this definition">¶</a></dt>
<dd><p>Read at most <em>size</em> bytes from the file (less if the read hits EOF before
obtaining <em>size</em> bytes).  If the <em>size</em> argument is negative or omitted, read
all data until EOF is reached.  The bytes are returned as a string object.  An
empty string is returned when EOF is encountered immediately.  (For certain
files, like ttys, it makes sense to continue reading after an EOF is hit.)  Note
that this method may call the underlying C function <tt class="xref c c-func docutils literal"><span class="pre">fread()</span></tt> more than
once in an effort to acquire as close to <em>size</em> bytes as possible. Also note
that when in non-blocking mode, less data than was requested may be
returned, even if no <em>size</em> parameter was given.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">This function is simply a wrapper for the underlying
<tt class="xref c c-func docutils literal"><span class="pre">fread()</span></tt> C function, and will behave the same in corner cases,
such as whether the EOF value is cached.</p>
</div>
</dd></dl>

<dl class="method">
<dt id="file.readline">
<tt class="descclassname">file.</tt><tt class="descname">readline</tt><big>(</big><span class="optional">[</span><em>size</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#file.readline" title="Permalink to this definition">¶</a></dt>
<dd><p>Read one entire line from the file.  A trailing newline character is kept in
the string (but may be absent when a file ends with an incomplete line). <a class="footnote-reference" href="#id17" id="id11">[6]</a>
If the <em>size</em> argument is present and non-negative, it is a maximum byte
count (including the trailing newline) and an incomplete line may be
returned. When <em>size</em> is not 0, an empty string is returned <em>only</em> when EOF
is encountered immediately.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">Unlike <tt class="docutils literal"><span class="pre">stdio</span></tt>&#8216;s <tt class="xref c c-func docutils literal"><span class="pre">fgets()</span></tt>, the returned string contains null characters
(<tt class="docutils literal"><span class="pre">'\0'</span></tt>) if they occurred in the input.</p>
</div>
</dd></dl>

<dl class="method">
<dt id="file.readlines">
<tt class="descclassname">file.</tt><tt class="descname">readlines</tt><big>(</big><span class="optional">[</span><em>sizehint</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#file.readlines" title="Permalink to this definition">¶</a></dt>
<dd><p>Read until EOF using <a class="reference internal" href="#file.readline" title="file.readline"><tt class="xref py py-meth docutils literal"><span class="pre">readline()</span></tt></a> and return a list containing the lines
thus read.  If the optional <em>sizehint</em> argument is present, instead of
reading up to EOF, whole lines totalling approximately <em>sizehint</em> bytes
(possibly after rounding up to an internal buffer size) are read.  Objects
implementing a file-like interface may choose to ignore <em>sizehint</em> if it
cannot be implemented, or cannot be implemented efficiently.</p>
</dd></dl>

<dl class="method">
<dt id="file.xreadlines">
<tt class="descclassname">file.</tt><tt class="descname">xreadlines</tt><big>(</big><big>)</big><a class="headerlink" href="#file.xreadlines" title="Permalink to this definition">¶</a></dt>
<dd><p>This method returns the same thing as <tt class="docutils literal"><span class="pre">iter(f)</span></tt>.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.1.</span></p>
<p class="deprecated">
<span class="versionmodified">Deprecated since version 2.3: </span>Use <tt class="docutils literal"><span class="pre">for</span> <span class="pre">line</span> <span class="pre">in</span> <span class="pre">file</span></tt> instead.</p>
</dd></dl>

<dl class="method">
<dt id="file.seek">
<tt class="descclassname">file.</tt><tt class="descname">seek</tt><big>(</big><em>offset</em><span class="optional">[</span>, <em>whence</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#file.seek" title="Permalink to this definition">¶</a></dt>
<dd><p>Set the file&#8217;s current position, like <tt class="docutils literal"><span class="pre">stdio</span></tt>&#8216;s <tt class="xref c c-func docutils literal"><span class="pre">fseek()</span></tt>. The <em>whence</em>
argument is optional and defaults to  <tt class="docutils literal"><span class="pre">os.SEEK_SET</span></tt> or <tt class="docutils literal"><span class="pre">0</span></tt> (absolute file
positioning); other values are <tt class="docutils literal"><span class="pre">os.SEEK_CUR</span></tt> or <tt class="docutils literal"><span class="pre">1</span></tt> (seek relative to the
current position) and <tt class="docutils literal"><span class="pre">os.SEEK_END</span></tt> or <tt class="docutils literal"><span class="pre">2</span></tt>  (seek relative to the file&#8217;s
end).  There is no return value.</p>
<p>For example, <tt class="docutils literal"><span class="pre">f.seek(2,</span> <span class="pre">os.SEEK_CUR)</span></tt> advances the position by two and
<tt class="docutils literal"><span class="pre">f.seek(-3,</span> <span class="pre">os.SEEK_END)</span></tt> sets the position to the third to last.</p>
<p>Note that if the file is opened for appending
(mode <tt class="docutils literal"><span class="pre">'a'</span></tt> or <tt class="docutils literal"><span class="pre">'a+'</span></tt>), any <a class="reference internal" href="#file.seek" title="file.seek"><tt class="xref py py-meth docutils literal"><span class="pre">seek()</span></tt></a> operations will be undone at the
next write.  If the file is only opened for writing in append mode (mode
<tt class="docutils literal"><span class="pre">'a'</span></tt>), this method is essentially a no-op, but it remains useful for files
opened in append mode with reading enabled (mode <tt class="docutils literal"><span class="pre">'a+'</span></tt>).  If the file is
opened in text mode (without <tt class="docutils literal"><span class="pre">'b'</span></tt>), only offsets returned by <a class="reference internal" href="#file.tell" title="file.tell"><tt class="xref py py-meth docutils literal"><span class="pre">tell()</span></tt></a> are
legal.  Use of other offsets causes undefined behavior.</p>
<p>Note that not all file objects are seekable.</p>
<p class="versionchanged">
<span class="versionmodified">Changed in version 2.6: </span>Passing float values as offset has been deprecated.</p>
</dd></dl>

<dl class="method">
<dt id="file.tell">
<tt class="descclassname">file.</tt><tt class="descname">tell</tt><big>(</big><big>)</big><a class="headerlink" href="#file.tell" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the file&#8217;s current position, like <tt class="docutils literal"><span class="pre">stdio</span></tt>&#8216;s <tt class="xref c c-func docutils literal"><span class="pre">ftell()</span></tt>.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">On Windows, <a class="reference internal" href="#file.tell" title="file.tell"><tt class="xref py py-meth docutils literal"><span class="pre">tell()</span></tt></a> can return illegal values (after an <tt class="xref c c-func docutils literal"><span class="pre">fgets()</span></tt>)
when reading files with Unix-style line-endings. Use binary mode (<tt class="docutils literal"><span class="pre">'rb'</span></tt>) to
circumvent this problem.</p>
</div>
</dd></dl>

<dl class="method">
<dt id="file.truncate">
<tt class="descclassname">file.</tt><tt class="descname">truncate</tt><big>(</big><span class="optional">[</span><em>size</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#file.truncate" title="Permalink to this definition">¶</a></dt>
<dd><p>Truncate the file&#8217;s size.  If the optional <em>size</em> argument is present, the file
is truncated to (at most) that size.  The size defaults to the current position.
The current file position is not changed.  Note that if a specified size exceeds
the file&#8217;s current size, the result is platform-dependent:  possibilities
include that the file may remain unchanged, increase to the specified size as if
zero-filled, or increase to the specified size with undefined new content.
Availability:  Windows, many Unix variants.</p>
</dd></dl>

<dl class="method">
<dt id="file.write">
<tt class="descclassname">file.</tt><tt class="descname">write</tt><big>(</big><em>str</em><big>)</big><a class="headerlink" href="#file.write" title="Permalink to this definition">¶</a></dt>
<dd><p>Write a string to the file.  There is no return value.  Due to buffering, the
string may not actually show up in the file until the <a class="reference internal" href="#file.flush" title="file.flush"><tt class="xref py py-meth docutils literal"><span class="pre">flush()</span></tt></a> or
<a class="reference internal" href="#file.close" title="file.close"><tt class="xref py py-meth docutils literal"><span class="pre">close()</span></tt></a> method is called.</p>
</dd></dl>

<dl class="method">
<dt id="file.writelines">
<tt class="descclassname">file.</tt><tt class="descname">writelines</tt><big>(</big><em>sequence</em><big>)</big><a class="headerlink" href="#file.writelines" title="Permalink to this definition">¶</a></dt>
<dd><p>Write a sequence of strings to the file.  The sequence can be any iterable
object producing strings, typically a list of strings. There is no return value.
(The name is intended to match <a class="reference internal" href="#file.readlines" title="file.readlines"><tt class="xref py py-meth docutils literal"><span class="pre">readlines()</span></tt></a>; <a class="reference internal" href="#file.writelines" title="file.writelines"><tt class="xref py py-meth docutils literal"><span class="pre">writelines()</span></tt></a> does not
add line separators.)</p>
</dd></dl>

<p>Files support the iterator protocol.  Each iteration returns the same result as
<a class="reference internal" href="#file.readline" title="file.readline"><tt class="xref py py-meth docutils literal"><span class="pre">readline()</span></tt></a>, and iteration ends when the <a class="reference internal" href="#file.readline" title="file.readline"><tt class="xref py py-meth docutils literal"><span class="pre">readline()</span></tt></a> method returns
an empty string.</p>
<p>File objects also offer a number of other interesting attributes. These are not
required for file-like objects, but should be implemented if they make sense for
the particular object.</p>
<dl class="attribute">
<dt id="file.closed">
<tt class="descclassname">file.</tt><tt class="descname">closed</tt><a class="headerlink" href="#file.closed" title="Permalink to this definition">¶</a></dt>
<dd><p>bool indicating the current state of the file object.  This is a read-only
attribute; the <a class="reference internal" href="#file.close" title="file.close"><tt class="xref py py-meth docutils literal"><span class="pre">close()</span></tt></a> method changes the value. It may not be available
on all file-like objects.</p>
</dd></dl>

<dl class="attribute">
<dt id="file.encoding">
<tt class="descclassname">file.</tt><tt class="descname">encoding</tt><a class="headerlink" href="#file.encoding" title="Permalink to this definition">¶</a></dt>
<dd><p>The encoding that this file uses. When Unicode strings are written to a file,
they will be converted to byte strings using this encoding. In addition, when
the file is connected to a terminal, the attribute gives the encoding that the
terminal is likely to use (that  information might be incorrect if the user has
misconfigured the  terminal). The attribute is read-only and may not be present
on all file-like objects. It may also be <tt class="xref docutils literal"><span class="pre">None</span></tt>, in which case the file uses
the system default encoding for converting Unicode strings.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.3.</span></p>
</dd></dl>

<dl class="attribute">
<dt id="file.errors">
<tt class="descclassname">file.</tt><tt class="descname">errors</tt><a class="headerlink" href="#file.errors" title="Permalink to this definition">¶</a></dt>
<dd><p>The Unicode error handler used along with the encoding.</p>
<p class="versionadded">
<span class="versionmodified">New in version 2.6.</span></p>
</dd></dl>

<dl class="attribute">
<dt id="file.mode">
<tt class="descclassname">file.</tt><tt class="descname">mode</tt><a class="headerlink" href="#file.mode" title="Permalink to this definition">¶</a></dt>
<dd><p>The I/O mode for the file.  If the file was created using the <a class="reference internal" href="functions.html#open" title="open"><tt class="xref py py-func docutils literal"><span class="pre">open()</span></tt></a>
built-in function, this will be the value of the <em>mode</em> parameter.  This is a
read-only attribute and may not be present on all file-like objects.</p>
</dd></dl>

<dl class="attribute">
<dt id="file.name">
<tt class="descclassname">file.</tt><tt class="descname">name</tt><a class="headerlink" href="#file.name" title="Permalink to this definition">¶</a></dt>
<dd><p>If the file object was created using <a class="reference internal" href="functions.html#open" title="open"><tt class="xref py py-func docutils literal"><span class="pre">open()</span></tt></a>, the name of the file.
Otherwise, some string that indicates the source of the file object, of the
form <tt class="docutils literal"><span class="pre">&lt;...&gt;</span></tt>.  This is a read-only attribute and may not be present on all
file-like objects.</p>
<span class="target" id="index-35"></span></dd></dl>

<dl class="attribute">
<dt id="file.newlines">
<tt class="descclassname">file.</tt><tt class="descname">newlines</tt><a class="headerlink" href="#file.newlines" title="Permalink to this definition">¶</a></dt>
<dd><p>If Python was built with <a class="reference internal" href="../glossary.html#term-universal-newlines"><em class="xref std std-term">universal newlines</em></a> enabled (the default) this
read-only attribute exists, and for files opened in universal newline read
mode it keeps track of the types of newlines encountered while reading the
file. The values it can take are <tt class="docutils literal"><span class="pre">'\r'</span></tt>, <tt class="docutils literal"><span class="pre">'\n'</span></tt>, <tt class="docutils literal"><span class="pre">'\r\n'</span></tt>, <tt class="xref docutils literal"><span class="pre">None</span></tt>
(unknown, no newlines read yet) or a tuple containing all the newline types
seen, to indicate that multiple newline conventions were encountered. For
files not opened in universal newlines read mode the value of this attribute
will be <tt class="xref docutils literal"><span class="pre">None</span></tt>.</p>
</dd></dl>

<dl class="attribute">
<dt id="file.softspace">
<tt class="descclassname">file.</tt><tt class="descname">softspace</tt><a class="headerlink" href="#file.softspace" title="Permalink to this definition">¶</a></dt>
<dd><p>Boolean that indicates whether a space character needs to be printed before
another value when using the <a class="reference internal" href="../reference/simple_stmts.html#print"><tt class="xref std std-keyword docutils literal"><span class="pre">print</span></tt></a> statement. Classes that are trying
to simulate a file object should also have a writable <a class="reference internal" href="#file.softspace" title="file.softspace"><tt class="xref py py-attr docutils literal"><span class="pre">softspace</span></tt></a>
attribute, which should be initialized to zero.  This will be automatic for most
classes implemented in Python (care may be needed for objects that override
attribute access); types implemented in C will have to provide a writable
<a class="reference internal" href="#file.softspace" title="file.softspace"><tt class="xref py py-attr docutils literal"><span class="pre">softspace</span></tt></a> attribute.</p>
<div class="admonition note">
<p class="first admonition-title">Note</p>
<p class="last">This attribute is not used to control the <a class="reference internal" href="../reference/simple_stmts.html#print"><tt class="xref std std-keyword docutils literal"><span class="pre">print</span></tt></a> statement, but to
allow the implementation of <a class="reference internal" href="../reference/simple_stmts.html#print"><tt class="xref std std-keyword docutils literal"><span class="pre">print</span></tt></a> to keep track of its internal
state.</p>
</div>
</dd></dl>

</div>
<div class="section" id="memoryview-type">
<span id="typememoryview"></span><h2>5.10. memoryview type<a class="headerlink" href="#memoryview-type" title="Permalink to this headline">¶</a></h2>
<p class="versionadded">
<span class="versionmodified">New in version 2.7.</span></p>
<p><a class="reference internal" href="#memoryview" title="memoryview"><tt class="xref py py-class docutils literal"><span class="pre">memoryview</span></tt></a> objects allow Python code to access the internal data
of an object that supports the buffer protocol without copying.  Memory
is generally interpreted as simple bytes.</p>
<dl class="class">
<dt id="memoryview">
<em class="property">class </em><tt class="descname">memoryview</tt><big>(</big><em>obj</em><big>)</big><a class="headerlink" href="#memoryview" title="Permalink to this definition">¶</a></dt>
<dd><p>Create a <a class="reference internal" href="#memoryview" title="memoryview"><tt class="xref py py-class docutils literal"><span class="pre">memoryview</span></tt></a> that references <em>obj</em>.  <em>obj</em> must support the
buffer protocol.  Built-in objects that support the buffer protocol include
<a class="reference internal" href="functions.html#str" title="str"><tt class="xref py py-class docutils literal"><span class="pre">str</span></tt></a> and <a class="reference internal" href="functions.html#bytearray" title="bytearray"><tt class="xref py py-class docutils literal"><span class="pre">bytearray</span></tt></a> (but not <a class="reference internal" href="functions.html#unicode" title="unicode"><tt class="xref py py-class docutils literal"><span class="pre">unicode</span></tt></a>).</p>
<p>A <a class="reference internal" href="#memoryview" title="memoryview"><tt class="xref py py-class docutils literal"><span class="pre">memoryview</span></tt></a> has the notion of an <em>element</em>, which is the
atomic memory unit handled by the originating object <em>obj</em>.  For many
simple types such as <a class="reference internal" href="functions.html#str" title="str"><tt class="xref py py-class docutils literal"><span class="pre">str</span></tt></a> and <a class="reference internal" href="functions.html#bytearray" title="bytearray"><tt class="xref py py-class docutils literal"><span class="pre">bytearray</span></tt></a>, an element
is a single byte, but other third-party types may expose larger elements.</p>
<p><tt class="docutils literal"><span class="pre">len(view)</span></tt> returns the total number of elements in the memoryview,
<em>view</em>.  The <a class="reference internal" href="#memoryview.itemsize" title="memoryview.itemsize"><tt class="xref py py-class docutils literal"><span class="pre">itemsize</span></tt></a> attribute will give you the
number of bytes in a single element.</p>
<p>A <a class="reference internal" href="#memoryview" title="memoryview"><tt class="xref py py-class docutils literal"><span class="pre">memoryview</span></tt></a> supports slicing to expose its data.  Taking a single
index will return a single element as a <a class="reference internal" href="functions.html#str" title="str"><tt class="xref py py-class docutils literal"><span class="pre">str</span></tt></a> object.  Full
slicing will result in a subview:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">v</span> <span class="o">=</span> <span class="n">memoryview</span><span class="p">(</span><span class="s">&#39;abcefg&#39;</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">v</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="go">&#39;b&#39;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">v</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
<span class="go">&#39;g&#39;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">v</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="mi">4</span><span class="p">]</span>
<span class="go">&lt;memory at 0x77ab28&gt;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">v</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="mi">4</span><span class="p">]</span><span class="o">.</span><span class="n">tobytes</span><span class="p">()</span>
<span class="go">&#39;bce&#39;</span>
</pre></div>
</div>
<p>If the object the memoryview is over supports changing its data, the
memoryview supports slice assignment:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">data</span> <span class="o">=</span> <span class="nb">bytearray</span><span class="p">(</span><span class="s">&#39;abcefg&#39;</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">v</span> <span class="o">=</span> <span class="n">memoryview</span><span class="p">(</span><span class="n">data</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">v</span><span class="o">.</span><span class="n">readonly</span>
<span class="go">False</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">v</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="s">&#39;z&#39;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span>
<span class="go">bytearray(b&#39;zbcefg&#39;)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">v</span><span class="p">[</span><span class="mi">1</span><span class="p">:</span><span class="mi">4</span><span class="p">]</span> <span class="o">=</span> <span class="s">&#39;123&#39;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">data</span>
<span class="go">bytearray(b&#39;z123fg&#39;)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">v</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="o">=</span> <span class="s">&#39;spam&#39;</span>
<span class="gt">Traceback (most recent call last):</span>
  File <span class="nb">&quot;&lt;stdin&gt;&quot;</span>, line <span class="m">1</span>, in <span class="n-Identifier">&lt;module&gt;</span>
<span class="nc">ValueError</span>: <span class="n-Identifier">cannot modify size of memoryview object</span>
</pre></div>
</div>
<p>Notice how the size of the memoryview object cannot be changed.</p>
<p><a class="reference internal" href="#memoryview" title="memoryview"><tt class="xref py py-class docutils literal"><span class="pre">memoryview</span></tt></a> has two methods:</p>
<dl class="method">
<dt id="memoryview.tobytes">
<tt class="descname">tobytes</tt><big>(</big><big>)</big><a class="headerlink" href="#memoryview.tobytes" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the data in the buffer as a bytestring (an object of class
<a class="reference internal" href="functions.html#str" title="str"><tt class="xref py py-class docutils literal"><span class="pre">str</span></tt></a>).</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">m</span> <span class="o">=</span> <span class="n">memoryview</span><span class="p">(</span><span class="s">&quot;abc&quot;</span><span class="p">)</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">m</span><span class="o">.</span><span class="n">tobytes</span><span class="p">()</span>
<span class="go">&#39;abc&#39;</span>
</pre></div>
</div>
</dd></dl>

<dl class="method">
<dt id="memoryview.tolist">
<tt class="descname">tolist</tt><big>(</big><big>)</big><a class="headerlink" href="#memoryview.tolist" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the data in the buffer as a list of integers.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="n">memoryview</span><span class="p">(</span><span class="s">&quot;abc&quot;</span><span class="p">)</span><span class="o">.</span><span class="n">tolist</span><span class="p">()</span>
<span class="go">[97, 98, 99]</span>
</pre></div>
</div>
</dd></dl>

<p>There are also several readonly attributes available:</p>
<dl class="attribute">
<dt id="memoryview.format">
<tt class="descname">format</tt><a class="headerlink" href="#memoryview.format" title="Permalink to this definition">¶</a></dt>
<dd><p>A string containing the format (in <a class="reference internal" href="struct.html#module-struct" title="struct: Interpret strings as packed binary data."><tt class="xref py py-mod docutils literal"><span class="pre">struct</span></tt></a> module style) for each
element in the view.  This defaults to <tt class="docutils literal"><span class="pre">'B'</span></tt>, a simple bytestring.</p>
</dd></dl>

<dl class="attribute">
<dt id="memoryview.itemsize">
<tt class="descname">itemsize</tt><a class="headerlink" href="#memoryview.itemsize" title="Permalink to this definition">¶</a></dt>
<dd><p>The size in bytes of each element of the memoryview.</p>
</dd></dl>

<dl class="attribute">
<dt id="memoryview.shape">
<tt class="descname">shape</tt><a class="headerlink" href="#memoryview.shape" title="Permalink to this definition">¶</a></dt>
<dd><p>A tuple of integers the length of <a class="reference internal" href="#memoryview.ndim" title="memoryview.ndim"><tt class="xref py py-attr docutils literal"><span class="pre">ndim</span></tt></a> giving the shape of the
memory as a N-dimensional array.</p>
</dd></dl>

<dl class="attribute">
<dt id="memoryview.ndim">
<tt class="descname">ndim</tt><a class="headerlink" href="#memoryview.ndim" title="Permalink to this definition">¶</a></dt>
<dd><p>An integer indicating how many dimensions of a multi-dimensional array the
memory represents.</p>
</dd></dl>

<dl class="attribute">
<dt id="memoryview.strides">
<tt class="descname">strides</tt><a class="headerlink" href="#memoryview.strides" title="Permalink to this definition">¶</a></dt>
<dd><p>A tuple of integers the length of <a class="reference internal" href="#memoryview.ndim" title="memoryview.ndim"><tt class="xref py py-attr docutils literal"><span class="pre">ndim</span></tt></a> giving the size in bytes to
access each element for each dimension of the array.</p>
</dd></dl>

<dl class="attribute">
<dt id="memoryview.readonly">
<tt class="descname">readonly</tt><a class="headerlink" href="#memoryview.readonly" title="Permalink to this definition">¶</a></dt>
<dd><p>A bool indicating whether the memory is read only.</p>
</dd></dl>

</dd></dl>

</div>
<div class="section" id="context-manager-types">
<span id="typecontextmanager"></span><h2>5.11. Context Manager Types<a class="headerlink" href="#context-manager-types" title="Permalink to this headline">¶</a></h2>
<p class="versionadded">
<span class="versionmodified">New in version 2.5.</span></p>
<p id="index-36">Python&#8217;s <a class="reference internal" href="../reference/compound_stmts.html#with"><tt class="xref std std-keyword docutils literal"><span class="pre">with</span></tt></a> statement supports the concept of a runtime context
defined by a context manager.  This is implemented using two separate methods
that allow user-defined classes to define a runtime context that is entered
before the statement body is executed and exited when the statement ends.</p>
<p>The <em class="dfn">context management protocol</em> consists of a pair of methods that need
to be provided for a context manager object to define a runtime context:</p>
<dl class="method">
<dt id="contextmanager.__enter__">
<tt class="descclassname">contextmanager.</tt><tt class="descname">__enter__</tt><big>(</big><big>)</big><a class="headerlink" href="#contextmanager.__enter__" title="Permalink to this definition">¶</a></dt>
<dd><p>Enter the runtime context and return either this object or another object
related to the runtime context. The value returned by this method is bound to
the identifier in the <a class="reference internal" href="../reference/compound_stmts.html#as"><tt class="xref std std-keyword docutils literal"><span class="pre">as</span></tt></a> clause of <a class="reference internal" href="../reference/compound_stmts.html#with"><tt class="xref std std-keyword docutils literal"><span class="pre">with</span></tt></a> statements using
this context manager.</p>
<p>An example of a context manager that returns itself is a file object. File
objects return themselves from __enter__() to allow <a class="reference internal" href="functions.html#open" title="open"><tt class="xref py py-func docutils literal"><span class="pre">open()</span></tt></a> to be used as
the context expression in a <a class="reference internal" href="../reference/compound_stmts.html#with"><tt class="xref std std-keyword docutils literal"><span class="pre">with</span></tt></a> statement.</p>
<p>An example of a context manager that returns a related object is the one
returned by <a class="reference internal" href="decimal.html#decimal.localcontext" title="decimal.localcontext"><tt class="xref py py-func docutils literal"><span class="pre">decimal.localcontext()</span></tt></a>. These managers set the active
decimal context to a copy of the original decimal context and then return the
copy. This allows changes to be made to the current decimal context in the body
of the <a class="reference internal" href="../reference/compound_stmts.html#with"><tt class="xref std std-keyword docutils literal"><span class="pre">with</span></tt></a> statement without affecting code outside the
<a class="reference internal" href="../reference/compound_stmts.html#with"><tt class="xref std std-keyword docutils literal"><span class="pre">with</span></tt></a> statement.</p>
</dd></dl>

<dl class="method">
<dt id="contextmanager.__exit__">
<tt class="descclassname">contextmanager.</tt><tt class="descname">__exit__</tt><big>(</big><em>exc_type</em>, <em>exc_val</em>, <em>exc_tb</em><big>)</big><a class="headerlink" href="#contextmanager.__exit__" title="Permalink to this definition">¶</a></dt>
<dd><p>Exit the runtime context and return a Boolean flag indicating if any exception
that occurred should be suppressed. If an exception occurred while executing the
body of the <a class="reference internal" href="../reference/compound_stmts.html#with"><tt class="xref std std-keyword docutils literal"><span class="pre">with</span></tt></a> statement, the arguments contain the exception type,
value and traceback information. Otherwise, all three arguments are <tt class="xref docutils literal"><span class="pre">None</span></tt>.</p>
<p>Returning a true value from this method will cause the <a class="reference internal" href="../reference/compound_stmts.html#with"><tt class="xref std std-keyword docutils literal"><span class="pre">with</span></tt></a> statement
to suppress the exception and continue execution with the statement immediately
following the <a class="reference internal" href="../reference/compound_stmts.html#with"><tt class="xref std std-keyword docutils literal"><span class="pre">with</span></tt></a> statement. Otherwise the exception continues
propagating after this method has finished executing. Exceptions that occur
during execution of this method will replace any exception that occurred in the
body of the <a class="reference internal" href="../reference/compound_stmts.html#with"><tt class="xref std std-keyword docutils literal"><span class="pre">with</span></tt></a> statement.</p>
<p>The exception passed in should never be reraised explicitly - instead, this
method should return a false value to indicate that the method completed
successfully and does not want to suppress the raised exception. This allows
context management code (such as <tt class="docutils literal"><span class="pre">contextlib.nested</span></tt>) to easily detect whether
or not an <a class="reference internal" href="#contextmanager.__exit__" title="contextmanager.__exit__"><tt class="xref py py-meth docutils literal"><span class="pre">__exit__()</span></tt></a> method has actually failed.</p>
</dd></dl>

<p>Python defines several context managers to support easy thread synchronisation,
prompt closure of files or other objects, and simpler manipulation of the active
decimal arithmetic context. The specific types are not treated specially beyond
their implementation of the context management protocol. See the
<a class="reference internal" href="contextlib.html#module-contextlib" title="contextlib: Utilities for with-statement contexts."><tt class="xref py py-mod docutils literal"><span class="pre">contextlib</span></tt></a> module for some examples.</p>
<p>Python&#8217;s <a class="reference internal" href="../glossary.html#term-generator"><em class="xref std std-term">generator</em></a>s and the <tt class="docutils literal"><span class="pre">contextlib.contextmanager</span></tt> <a class="reference internal" href="../glossary.html#term-decorator"><em class="xref std std-term">decorator</em></a>
provide a convenient way to implement these protocols.  If a generator function is
decorated with the <tt class="docutils literal"><span class="pre">contextlib.contextmanager</span></tt> decorator, it will return a
context manager implementing the necessary <a class="reference internal" href="../reference/datamodel.html#object.__enter__" title="object.__enter__"><tt class="xref py py-meth docutils literal"><span class="pre">__enter__()</span></tt></a> and
<a class="reference internal" href="../reference/datamodel.html#object.__exit__" title="object.__exit__"><tt class="xref py py-meth docutils literal"><span class="pre">__exit__()</span></tt></a> methods, rather than the iterator produced by an undecorated
generator function.</p>
<p>Note that there is no specific slot for any of these methods in the type
structure for Python objects in the Python/C API. Extension types wanting to
define these methods must provide them as a normal Python accessible method.
Compared to the overhead of setting up the runtime context, the overhead of a
single class dictionary lookup is negligible.</p>
</div>
<div class="section" id="other-built-in-types">
<span id="typesother"></span><h2>5.12. Other Built-in Types<a class="headerlink" href="#other-built-in-types" title="Permalink to this headline">¶</a></h2>
<p>The interpreter supports several other kinds of objects. Most of these support
only one or two operations.</p>
<div class="section" id="modules">
<span id="typesmodules"></span><h3>5.12.1. Modules<a class="headerlink" href="#modules" title="Permalink to this headline">¶</a></h3>
<p>The only special operation on a module is attribute access: <tt class="docutils literal"><span class="pre">m.name</span></tt>, where
<em>m</em> is a module and <em>name</em> accesses a name defined in <em>m</em>&#8216;s symbol table.
Module attributes can be assigned to.  (Note that the <a class="reference internal" href="../reference/simple_stmts.html#import"><tt class="xref std std-keyword docutils literal"><span class="pre">import</span></tt></a>
statement is not, strictly speaking, an operation on a module object; <tt class="docutils literal"><span class="pre">import</span>
<span class="pre">foo</span></tt> does not require a module object named <em>foo</em> to exist, rather it requires
an (external) <em>definition</em> for a module named <em>foo</em> somewhere.)</p>
<p>A special attribute of every module is <a class="reference internal" href="#object.__dict__" title="object.__dict__"><tt class="xref py py-attr docutils literal"><span class="pre">__dict__</span></tt></a>. This is the
dictionary containing the module&#8217;s symbol table. Modifying this dictionary will
actually change the module&#8217;s symbol table, but direct assignment to the
<tt class="xref py py-attr docutils literal"><span class="pre">__dict__</span></tt> attribute is not possible (you can write
<tt class="docutils literal"><span class="pre">m.__dict__['a']</span> <span class="pre">=</span> <span class="pre">1</span></tt>, which defines <tt class="docutils literal"><span class="pre">m.a</span></tt> to be <tt class="docutils literal"><span class="pre">1</span></tt>, but you can&#8217;t write
<tt class="docutils literal"><span class="pre">m.__dict__</span> <span class="pre">=</span> <span class="pre">{}</span></tt>).  Modifying <tt class="xref py py-attr docutils literal"><span class="pre">__dict__</span></tt> directly is not recommended.</p>
<p>Modules built into the interpreter are written like this: <tt class="docutils literal"><span class="pre">&lt;module</span> <span class="pre">'sys'</span>
<span class="pre">(built-in)&gt;</span></tt>.  If loaded from a file, they are written as <tt class="docutils literal"><span class="pre">&lt;module</span> <span class="pre">'os'</span> <span class="pre">from</span>
<span class="pre">'/usr/local/lib/pythonX.Y/os.pyc'&gt;</span></tt>.</p>
</div>
<div class="section" id="classes-and-class-instances">
<span id="typesobjects"></span><h3>5.12.2. Classes and Class Instances<a class="headerlink" href="#classes-and-class-instances" title="Permalink to this headline">¶</a></h3>
<p>See <a class="reference internal" href="../reference/datamodel.html#objects"><em>Objects, values and types</em></a> and <a class="reference internal" href="../reference/compound_stmts.html#class"><em>Class definitions</em></a> for these.</p>
</div>
<div class="section" id="functions">
<span id="typesfunctions"></span><h3>5.12.3. Functions<a class="headerlink" href="#functions" title="Permalink to this headline">¶</a></h3>
<p>Function objects are created by function definitions.  The only operation on a
function object is to call it: <tt class="docutils literal"><span class="pre">func(argument-list)</span></tt>.</p>
<p>There are really two flavors of function objects: built-in functions and
user-defined functions.  Both support the same operation (to call the function),
but the implementation is different, hence the different object types.</p>
<p>See <a class="reference internal" href="../reference/compound_stmts.html#function"><em>Function definitions</em></a> for more information.</p>
</div>
<div class="section" id="methods">
<span id="typesmethods"></span><h3>5.12.4. Methods<a class="headerlink" href="#methods" title="Permalink to this headline">¶</a></h3>
<p id="index-37">Methods are functions that are called using the attribute notation. There are
two flavors: built-in methods (such as <tt class="xref py py-meth docutils literal"><span class="pre">append()</span></tt> on lists) and class
instance methods.  Built-in methods are described with the types that support
them.</p>
<p>The implementation adds two special read-only attributes to class instance
methods: <tt class="docutils literal"><span class="pre">m.im_self</span></tt> is the object on which the method operates, and
<tt class="docutils literal"><span class="pre">m.im_func</span></tt> is the function implementing the method.  Calling <tt class="docutils literal"><span class="pre">m(arg-1,</span>
<span class="pre">arg-2,</span> <span class="pre">...,</span> <span class="pre">arg-n)</span></tt> is completely equivalent to calling <tt class="docutils literal"><span class="pre">m.im_func(m.im_self,</span>
<span class="pre">arg-1,</span> <span class="pre">arg-2,</span> <span class="pre">...,</span> <span class="pre">arg-n)</span></tt>.</p>
<p>Class instance methods are either <em>bound</em> or <em>unbound</em>, referring to whether the
method was accessed through an instance or a class, respectively.  When a method
is unbound, its <tt class="docutils literal"><span class="pre">im_self</span></tt> attribute will be <tt class="xref docutils literal"><span class="pre">None</span></tt> and if called, an
explicit <tt class="docutils literal"><span class="pre">self</span></tt> object must be passed as the first argument.  In this case,
<tt class="docutils literal"><span class="pre">self</span></tt> must be an instance of the unbound method&#8217;s class (or a subclass of
that class), otherwise a <a class="reference internal" href="exceptions.html#exceptions.TypeError" title="exceptions.TypeError"><tt class="xref py py-exc docutils literal"><span class="pre">TypeError</span></tt></a> is raised.</p>
<p>Like function objects, methods objects support getting arbitrary attributes.
However, since method attributes are actually stored on the underlying function
object (<tt class="docutils literal"><span class="pre">meth.im_func</span></tt>), setting method attributes on either bound or unbound
methods is disallowed.  Attempting to set an attribute on a method results in
an <a class="reference internal" href="exceptions.html#exceptions.AttributeError" title="exceptions.AttributeError"><tt class="xref py py-exc docutils literal"><span class="pre">AttributeError</span></tt></a> being raised.  In order to set a method attribute, you
need to explicitly set it on the underlying function object:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="k">class</span> <span class="nc">C</span><span class="p">:</span>
<span class="gp">... </span>    <span class="k">def</span> <span class="nf">method</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="gp">... </span>        <span class="k">pass</span>
<span class="gp">...</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">c</span> <span class="o">=</span> <span class="n">C</span><span class="p">()</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">c</span><span class="o">.</span><span class="n">method</span><span class="o">.</span><span class="n">whoami</span> <span class="o">=</span> <span class="s">&#39;my name is method&#39;</span>  <span class="c"># can&#39;t set on the method</span>
<span class="gt">Traceback (most recent call last):</span>
  File <span class="nb">&quot;&lt;stdin&gt;&quot;</span>, line <span class="m">1</span>, in <span class="n-Identifier">&lt;module&gt;</span>
<span class="nc">AttributeError</span>: <span class="n-Identifier">&#39;instancemethod&#39; object has no attribute &#39;whoami&#39;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">c</span><span class="o">.</span><span class="n">method</span><span class="o">.</span><span class="n">im_func</span><span class="o">.</span><span class="n">whoami</span> <span class="o">=</span> <span class="s">&#39;my name is method&#39;</span>
<span class="gp">&gt;&gt;&gt; </span><span class="n">c</span><span class="o">.</span><span class="n">method</span><span class="o">.</span><span class="n">whoami</span>
<span class="go">&#39;my name is method&#39;</span>
</pre></div>
</div>
<p>See <a class="reference internal" href="../reference/datamodel.html#types"><em>The standard type hierarchy</em></a> for more information.</p>
</div>
<div class="section" id="code-objects">
<span id="bltin-code-objects"></span><h3>5.12.5. Code Objects<a class="headerlink" href="#code-objects" title="Permalink to this headline">¶</a></h3>
<span class="target" id="index-38"></span><p id="index-39">Code objects are used by the implementation to represent &#8220;pseudo-compiled&#8221;
executable Python code such as a function body. They differ from function
objects because they don&#8217;t contain a reference to their global execution
environment.  Code objects are returned by the built-in <a class="reference internal" href="functions.html#compile" title="compile"><tt class="xref py py-func docutils literal"><span class="pre">compile()</span></tt></a> function
and can be extracted from function objects through their <tt class="xref py py-attr docutils literal"><span class="pre">func_code</span></tt>
attribute. See also the <a class="reference internal" href="code.html#module-code" title="code: Facilities to implement read-eval-print loops."><tt class="xref py py-mod docutils literal"><span class="pre">code</span></tt></a> module.</p>
<p id="index-40">A code object can be executed or evaluated by passing it (instead of a source
string) to the <a class="reference internal" href="../reference/simple_stmts.html#exec"><tt class="xref std std-keyword docutils literal"><span class="pre">exec</span></tt></a> statement or the built-in <a class="reference internal" href="functions.html#eval" title="eval"><tt class="xref py py-func docutils literal"><span class="pre">eval()</span></tt></a> function.</p>
<p>See <a class="reference internal" href="../reference/datamodel.html#types"><em>The standard type hierarchy</em></a> for more information.</p>
</div>
<div class="section" id="type-objects">
<span id="bltin-type-objects"></span><h3>5.12.6. Type Objects<a class="headerlink" href="#type-objects" title="Permalink to this headline">¶</a></h3>
<p id="index-41">Type objects represent the various object types.  An object&#8217;s type is accessed
by the built-in function <a class="reference internal" href="functions.html#type" title="type"><tt class="xref py py-func docutils literal"><span class="pre">type()</span></tt></a>.  There are no special operations on
types.  The standard module <a class="reference internal" href="types.html#module-types" title="types: Names for built-in types."><tt class="xref py py-mod docutils literal"><span class="pre">types</span></tt></a> defines names for all standard built-in
types.</p>
<p>Types are written like this: <tt class="docutils literal"><span class="pre">&lt;type</span> <span class="pre">'int'&gt;</span></tt>.</p>
</div>
<div class="section" id="the-null-object">
<span id="bltin-null-object"></span><h3>5.12.7. The Null Object<a class="headerlink" href="#the-null-object" title="Permalink to this headline">¶</a></h3>
<p>This object is returned by functions that don&#8217;t explicitly return a value.  It
supports no special operations.  There is exactly one null object, named
<tt class="xref docutils literal"><span class="pre">None</span></tt> (a built-in name).</p>
<p>It is written as <tt class="xref docutils literal"><span class="pre">None</span></tt>.</p>
</div>
<div class="section" id="the-ellipsis-object">
<span id="bltin-ellipsis-object"></span><h3>5.12.8. The Ellipsis Object<a class="headerlink" href="#the-ellipsis-object" title="Permalink to this headline">¶</a></h3>
<p>This object is used by extended slice notation (see <a class="reference internal" href="../reference/expressions.html#slicings"><em>Slicings</em></a>).  It
supports no special operations.  There is exactly one ellipsis object, named
<a class="reference internal" href="constants.html#Ellipsis" title="Ellipsis"><tt class="xref py py-const docutils literal"><span class="pre">Ellipsis</span></tt></a> (a built-in name).</p>
<p>It is written as <tt class="docutils literal"><span class="pre">Ellipsis</span></tt>.  When in a subscript, it can also be written as
<tt class="docutils literal"><span class="pre">...</span></tt>, for example <tt class="docutils literal"><span class="pre">seq[...]</span></tt>.</p>
</div>
<div class="section" id="the-notimplemented-object">
<h3>5.12.9. The NotImplemented Object<a class="headerlink" href="#the-notimplemented-object" title="Permalink to this headline">¶</a></h3>
<p>This object is returned from comparisons and binary operations when they are
asked to operate on types they don&#8217;t support. See <a class="reference internal" href="../reference/expressions.html#comparisons"><em>Comparisons</em></a> for more
information.</p>
<p>It is written as <tt class="docutils literal"><span class="pre">NotImplemented</span></tt>.</p>
</div>
<div class="section" id="boolean-values">
<h3>5.12.10. Boolean Values<a class="headerlink" href="#boolean-values" title="Permalink to this headline">¶</a></h3>
<p>Boolean values are the two constant objects <tt class="xref docutils literal"><span class="pre">False</span></tt> and <tt class="xref docutils literal"><span class="pre">True</span></tt>.  They are
used to represent truth values (although other values can also be considered
false or true).  In numeric contexts (for example when used as the argument to
an arithmetic operator), they behave like the integers 0 and 1, respectively.
The built-in function <a class="reference internal" href="functions.html#bool" title="bool"><tt class="xref py py-func docutils literal"><span class="pre">bool()</span></tt></a> can be used to convert any value to a
Boolean, if the value can be interpreted as a truth value (see section
<a class="reference internal" href="#truth"><em>Truth Value Testing</em></a> above).</p>
<p id="index-42">They are written as <tt class="xref docutils literal"><span class="pre">False</span></tt> and <tt class="xref docutils literal"><span class="pre">True</span></tt>, respectively.</p>
</div>
<div class="section" id="internal-objects">
<span id="typesinternal"></span><h3>5.12.11. Internal Objects<a class="headerlink" href="#internal-objects" title="Permalink to this headline">¶</a></h3>
<p>See <a class="reference internal" href="../reference/datamodel.html#types"><em>The standard type hierarchy</em></a> for this information.  It describes stack frame objects,
traceback objects, and slice objects.</p>
</div>
</div>
<div class="section" id="special-attributes">
<span id="specialattrs"></span><h2>5.13. Special Attributes<a class="headerlink" href="#special-attributes" title="Permalink to this headline">¶</a></h2>
<p>The implementation adds a few special read-only attributes to several object
types, where they are relevant.  Some of these are not reported by the
<a class="reference internal" href="functions.html#dir" title="dir"><tt class="xref py py-func docutils literal"><span class="pre">dir()</span></tt></a> built-in function.</p>
<dl class="attribute">
<dt id="object.__dict__">
<tt class="descclassname">object.</tt><tt class="descname">__dict__</tt><a class="headerlink" href="#object.__dict__" title="Permalink to this definition">¶</a></dt>
<dd><p>A dictionary or other mapping object used to store an object&#8217;s (writable)
attributes.</p>
</dd></dl>

<dl class="attribute">
<dt id="object.__methods__">
<tt class="descclassname">object.</tt><tt class="descname">__methods__</tt><a class="headerlink" href="#object.__methods__" title="Permalink to this definition">¶</a></dt>
<dd><p class="deprecated">
<span class="versionmodified">Deprecated since version 2.2: </span>Use the built-in function <a class="reference internal" href="functions.html#dir" title="dir"><tt class="xref py py-func docutils literal"><span class="pre">dir()</span></tt></a> to get a list of an object&#8217;s attributes.
This attribute is no longer available.</p>
</dd></dl>

<dl class="attribute">
<dt id="object.__members__">
<tt class="descclassname">object.</tt><tt class="descname">__members__</tt><a class="headerlink" href="#object.__members__" title="Permalink to this definition">¶</a></dt>
<dd><p class="deprecated">
<span class="versionmodified">Deprecated since version 2.2: </span>Use the built-in function <a class="reference internal" href="functions.html#dir" title="dir"><tt class="xref py py-func docutils literal"><span class="pre">dir()</span></tt></a> to get a list of an object&#8217;s attributes.
This attribute is no longer available.</p>
</dd></dl>

<dl class="attribute">
<dt id="instance.__class__">
<tt class="descclassname">instance.</tt><tt class="descname">__class__</tt><a class="headerlink" href="#instance.__class__" title="Permalink to this definition">¶</a></dt>
<dd><p>The class to which a class instance belongs.</p>
</dd></dl>

<dl class="attribute">
<dt id="class.__bases__">
<tt class="descclassname">class.</tt><tt class="descname">__bases__</tt><a class="headerlink" href="#class.__bases__" title="Permalink to this definition">¶</a></dt>
<dd><p>The tuple of base classes of a class object.</p>
</dd></dl>

<dl class="attribute">
<dt id="class.__name__">
<tt class="descclassname">class.</tt><tt class="descname">__name__</tt><a class="headerlink" href="#class.__name__" title="Permalink to this definition">¶</a></dt>
<dd><p>The name of the class or type.</p>
</dd></dl>

<p>The following attributes are only supported by <a class="reference internal" href="../glossary.html#term-new-style-class"><em class="xref std std-term">new-style class</em></a>es.</p>
<dl class="attribute">
<dt id="class.__mro__">
<tt class="descclassname">class.</tt><tt class="descname">__mro__</tt><a class="headerlink" href="#class.__mro__" title="Permalink to this definition">¶</a></dt>
<dd><p>This attribute is a tuple of classes that are considered when looking for
base classes during method resolution.</p>
</dd></dl>

<dl class="method">
<dt id="class.mro">
<tt class="descclassname">class.</tt><tt class="descname">mro</tt><big>(</big><big>)</big><a class="headerlink" href="#class.mro" title="Permalink to this definition">¶</a></dt>
<dd><p>This method can be overridden by a metaclass to customize the method
resolution order for its instances.  It is called at class instantiation, and
its result is stored in <a class="reference internal" href="#class.__mro__" title="class.__mro__"><tt class="xref py py-attr docutils literal"><span class="pre">__mro__</span></tt></a>.</p>
</dd></dl>

<dl class="method">
<dt id="class.__subclasses__">
<tt class="descclassname">class.</tt><tt class="descname">__subclasses__</tt><big>(</big><big>)</big><a class="headerlink" href="#class.__subclasses__" title="Permalink to this definition">¶</a></dt>
<dd><p>Each new-style class keeps a list of weak references to its immediate
subclasses.  This method returns a list of all those references still alive.
Example:</p>
<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="nb">int</span><span class="o">.</span><span class="n">__subclasses__</span><span class="p">()</span>
<span class="go">[&lt;type &#39;bool&#39;&gt;]</span>
</pre></div>
</div>
</dd></dl>

<p class="rubric">Footnotes</p>
<table class="docutils footnote" frame="void" id="id12" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label"><a class="fn-backref" href="#id1">[1]</a></td><td>Additional information on these special methods may be found in the Python
Reference Manual (<a class="reference internal" href="../reference/datamodel.html#customization"><em>Basic customization</em></a>).</td></tr>
</tbody>
</table>
<table class="docutils footnote" frame="void" id="id13" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label"><a class="fn-backref" href="#id2">[2]</a></td><td>As a consequence, the list <tt class="docutils literal"><span class="pre">[1,</span> <span class="pre">2]</span></tt> is considered equal to <tt class="docutils literal"><span class="pre">[1.0,</span> <span class="pre">2.0]</span></tt>, and
similarly for tuples.</td></tr>
</tbody>
</table>
<table class="docutils footnote" frame="void" id="id14" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label"><a class="fn-backref" href="#id4">[3]</a></td><td>They must have since the parser can&#8217;t tell the type of the operands.</td></tr>
</tbody>
</table>
<table class="docutils footnote" frame="void" id="id15" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label">[4]</td><td><em>(<a class="fn-backref" href="#id6">1</a>, <a class="fn-backref" href="#id7">2</a>, <a class="fn-backref" href="#id8">3</a>, <a class="fn-backref" href="#id9">4</a>)</em> Cased characters are those with general category property being one of
&#8220;Lu&#8221; (Letter, uppercase), &#8220;Ll&#8221; (Letter, lowercase), or &#8220;Lt&#8221; (Letter, titlecase).</td></tr>
</tbody>
</table>
<table class="docutils footnote" frame="void" id="id16" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label"><a class="fn-backref" href="#id10">[5]</a></td><td>To format only a tuple you should therefore provide a singleton tuple whose only
element is the tuple to be formatted.</td></tr>
</tbody>
</table>
<table class="docutils footnote" frame="void" id="id17" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label"><a class="fn-backref" href="#id11">[6]</a></td><td>The advantage of leaving the newline on is that returning an empty string is
then an unambiguous EOF indication.  It is also possible (in cases where it
might matter, for example, if you want to make an exact copy of a file while
scanning its lines) to tell whether the last line of a file ended in a newline
or not (yes this happens!).</td></tr>
</tbody>
</table>
</div>
</div>


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  <h3><a href="../contents.html">Table Of Contents</a></h3>
  <ul>
<li><a class="reference internal" href="#">5. Built-in Types</a><ul>
<li><a class="reference internal" href="#truth-value-testing">5.1. Truth Value Testing</a></li>
<li><a class="reference internal" href="#boolean-operations-and-or-not">5.2. Boolean Operations &#8212; <tt class="docutils literal"><span class="pre">and</span></tt>, <tt class="docutils literal"><span class="pre">or</span></tt>, <tt class="docutils literal"><span class="pre">not</span></tt></a></li>
<li><a class="reference internal" href="#comparisons">5.3. Comparisons</a></li>
<li><a class="reference internal" href="#numeric-types-int-float-long-complex">5.4. Numeric Types &#8212; <tt class="docutils literal"><span class="pre">int</span></tt>, <tt class="docutils literal"><span class="pre">float</span></tt>, <tt class="docutils literal"><span class="pre">long</span></tt>, <tt class="docutils literal"><span class="pre">complex</span></tt></a><ul>
<li><a class="reference internal" href="#bitwise-operations-on-integer-types">5.4.1. Bitwise Operations on Integer Types</a></li>
<li><a class="reference internal" href="#additional-methods-on-integer-types">5.4.2. Additional Methods on Integer Types</a></li>
<li><a class="reference internal" href="#additional-methods-on-float">5.4.3. Additional Methods on Float</a></li>
</ul>
</li>
<li><a class="reference internal" href="#iterator-types">5.5. Iterator Types</a><ul>
<li><a class="reference internal" href="#generator-types">5.5.1. Generator Types</a></li>
</ul>
</li>
<li><a class="reference internal" href="#sequence-types-str-unicode-list-tuple-bytearray-buffer-xrange">5.6. Sequence Types &#8212; <tt class="docutils literal"><span class="pre">str</span></tt>, <tt class="docutils literal"><span class="pre">unicode</span></tt>, <tt class="docutils literal"><span class="pre">list</span></tt>, <tt class="docutils literal"><span class="pre">tuple</span></tt>, <tt class="docutils literal"><span class="pre">bytearray</span></tt>, <tt class="docutils literal"><span class="pre">buffer</span></tt>, <tt class="docutils literal"><span class="pre">xrange</span></tt></a><ul>
<li><a class="reference internal" href="#string-methods">5.6.1. String Methods</a></li>
<li><a class="reference internal" href="#string-formatting-operations">5.6.2. String Formatting Operations</a></li>
<li><a class="reference internal" href="#xrange-type">5.6.3. XRange Type</a></li>
<li><a class="reference internal" href="#mutable-sequence-types">5.6.4. Mutable Sequence Types</a></li>
</ul>
</li>
<li><a class="reference internal" href="#set-types-set-frozenset">5.7. Set Types &#8212; <tt class="docutils literal"><span class="pre">set</span></tt>, <tt class="docutils literal"><span class="pre">frozenset</span></tt></a></li>
<li><a class="reference internal" href="#mapping-types-dict">5.8. Mapping Types &#8212; <tt class="docutils literal"><span class="pre">dict</span></tt></a><ul>
<li><a class="reference internal" href="#dictionary-view-objects">5.8.1. Dictionary view objects</a></li>
</ul>
</li>
<li><a class="reference internal" href="#file-objects">5.9. File Objects</a></li>
<li><a class="reference internal" href="#memoryview-type">5.10. memoryview type</a></li>
<li><a class="reference internal" href="#context-manager-types">5.11. Context Manager Types</a></li>
<li><a class="reference internal" href="#other-built-in-types">5.12. Other Built-in Types</a><ul>
<li><a class="reference internal" href="#modules">5.12.1. Modules</a></li>
<li><a class="reference internal" href="#classes-and-class-instances">5.12.2. Classes and Class Instances</a></li>
<li><a class="reference internal" href="#functions">5.12.3. Functions</a></li>
<li><a class="reference internal" href="#methods">5.12.4. Methods</a></li>
<li><a class="reference internal" href="#code-objects">5.12.5. Code Objects</a></li>
<li><a class="reference internal" href="#type-objects">5.12.6. Type Objects</a></li>
<li><a class="reference internal" href="#the-null-object">5.12.7. The Null Object</a></li>
<li><a class="reference internal" href="#the-ellipsis-object">5.12.8. The Ellipsis Object</a></li>
<li><a class="reference internal" href="#the-notimplemented-object">5.12.9. The NotImplemented Object</a></li>
<li><a class="reference internal" href="#boolean-values">5.12.10. Boolean Values</a></li>
<li><a class="reference internal" href="#internal-objects">5.12.11. Internal Objects</a></li>
</ul>
</li>
<li><a class="reference internal" href="#special-attributes">5.13. Special Attributes</a></li>
</ul>
</li>
</ul>

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